sańkalpo viditaḥ sādhvyo
bhavatīnāḿ mad-arcanam
mayānumoditaḥ so 'sau
satyo bhavitum arhati
sankalpah -- the motivation; viditah -- understood; sadhvyah -- O pious girls; bhavatinam -- your; mat-arcanam -- worship of Me; maya -- by Me; anumoditah -- approved of; sah asau -- that; satyah -- true; bhavitum -- to become; arhati -- must.
Just as Krishna is free of all impure desire, so are the gopis. Their attempt to gain Krishna as their husband was therefore motivated not by a desire for personal sense gratification but by their overwhelming desire to serve Krishna and to please Him. Because of their intense love, the gopis did not see Krishna as God but rather as the most wonderful boy in all creation, and being beautiful young girls, they desired only to please Him by loving service. Lord Krishna understood the pure desire of the gopis and was thus satisfied. The Lord could certainly not be satisfied by ordinary lust, but He was moved by the intense loving devotion of the cowherd girls of Vrindavana.