Since the winner is receiving sats, everyone will pick 69, because 420 is excluded from the range and funny internet number haha, making 46 the perfect answer.

Joking aside, ranging from 1-100 makes your average basically at 50.5 so 2/3 of that would be 33.666666.

But of course, what if X% of participants think that way? Then the average would be dropped somewhat creating a new average and therefore a new 2/3 target.

From there, it becomes a weighted formula in which one must estimate how many layers of math a person will do and attempt to synthesize another person's logic for estimating how other people think which reminds me of that Newton quote regarding the predictability of "the madness of men".

I'll go with 32 estimating that 80% of people will estimate a 50% average and go with 33 as their guess and the other 20% will just throw a dart somewhere south of 50, averaging 25.