How do you solve for the experimental pKa when doing a titration?

When titrating a weak acid with a strong base, find the equivalence point (# mL for the eq point), take 1/2 that value (mL/2), and read the pH at that point. That will be pKa.

Of course, you must have a graph to do that but that is obtained in the titration where pH is plotted versus mL base.