How I Did It
Tools I Used
I used Sytrus, controlled by FL Studio.
Process
A clap is essentially just filtered white noise. In this case, I let the noise out unfiltered (with an ADSR to shape it) from Sytrus, and filtered it with FL Studio's equalizer. I cut out most of the lows, and added a fairly narrow spike of amplification in the upper mids. This gives you a pretty typical clap sound.