There are several costs involved in sending money internationally. For a large amount, the most significant of these is the exchange rate.
At a bank, there is usually a 2-3% "spread" on the "interbank rate" (the middle rate you see quoted on sites like xe.com, Yahoo, Google). This means that if (for example) the interbank rate gives you 1.4 USD when you sell 1 EUR, the bank may offer 1.4*0.97, or 1.358 USD per USD. Doesn't sound much difference, but that 4.2 cents per € difference comes to a couple of thousand dollars on a €50,000 transaction.
To get a better rate than a bank, you need to go to a specialist currency exchange broker. Most of these have a spread of 1% or so. There are additional costs, you have to send the money to the company, exchange it, then send it on to your bank in the destination country. Companies like this include currencyonline.com, xe.com, and probably others in your country (although it doesn't actually matter which country the broker is in, CurrencyOnline do a good job from New Zealand).
In recent years, there's another alternative, peer-to-peer currency exchange. The largest and best-established of these is CurrencyFair.com (in Dublin, Ireland). I've used them for several years now, without any problems.
These work in a similar way to currency exchange brokers, except you're exchanging money (anonymously) with somebody who wants to exchange money in the opposite direction. This means the spread can be very tiny, often under 0.5% (in fact I've sometimes got a rate better than the interbank rate).
Currencyfair accept Euros into their Dublin account from any EUR account (as well as separate GBP, USD etc accounts). You should be able to use free bill pay from any European account. Then, you exchange the money at the rates shown on their marketplace (if you want a certain rate, you can put the offer out there and wait until rates move in that direction). Then, it's transferred out to your own account in for example the US, typically for 4 USD. The combination of great exchange rates and low transaction costs makes it hard to beat, and for GBP-USD the whole process can take under 24 hours.
Note that CurrencyFair, and an increasing number of other currency brokers (and financial services in general) can't deal with US citizens and residents - too much regulation from FATCA and other US paperwork. People in the US may find their choices are very restricted. One way round this is to set up the account from the other country (in Europe), if you have the basic Know-Your-Customer paperwork from there (passport etc).
Whichever currency broker you choose (or are limited to), it's still almost always a better deal than a bank. Just be sure to check how much it costs you to send them the money (if they require a wire transfer that can cost a lot), and how much they charge to send the money out (again, a wire transfer can eat into the savings).