A strong signal for double parton scattering (DP) is observed in a 16 pb^-1 sample of pbar p -> gamma + 3 jets + Chi data from the CDF experiment at the Fermilab Tevatron. The process-independent DP parameter, sigma_eff, is obtained without reference to theoretical calculations by comparing observed DP events to events with hard scatterings at separate pbar p collisions. The result, sigma_eff = (14.5 +\- 1.7^1.7_ -2.3) mb, represents a significant improvement over previous measurements. For the first time, the Feynman x dependence of the sigma_eff parameter is investigated, and no dependence is seen.