raised in EP then when re-raised just calls, likely holdings for a standard player are roughly AK,AQ,99-JJ. I would probably just check and fold as you did there considering there are 2 other people in the pot and you dont have position. The reraise preflop was significant, they both put in 16BB when they were behind.
Fnord, I dont really see that much value in just pushing AI here. If you decide you are going to stick around and see the hand to a showdown I think it would be better to check call all the way rather than bet. By betting here, you are not getting paid off by worse hands, a set or a king is sticking around if you bet, lower PP's or air are just folding. by checking you induce worse hands to bet, and if they do bet they are either drawing to 2 outs (PP) or 3 outs (A) assuming you are ahead, which are very good odds, especially considering the size of the pot already.