Question 50266a50

In triangle $RST$, angle $T$ is a right angle, point $L$ lies on $\overline{RS}$, point $K$ lies on $\overline{ST}$, and $\overline{LK}$ is parallel to $\overline{RT}$. If the length of $\overline{RT}$ is $72$ units, the length of $\overline{LK}$ is $24$ units, and the area of triangle $RST$ is $792$ square units, what is the length of $\overline{KT}$, in units?