Did I do the right thing?

It depends on what kind of player he was. If he was a tight player, you should have assumed that you were the underdog going against an A or a pocket pair. That would have been a bad call then, leaving you with only enough for the blind the next hand. If you were already short stacked, then it would have been a good move reguardless because you can't dump two face cards, while three handed on a short stack. It he was a very aggressive player, it was a good call reguardless.

And yes, it was lucky crap that you won, seeing how the odds were at least 2 to 1 against you (66/33) before the flop, but lucky crap is part of the game.
-Chad