Answer
Please see the work below.
Work Step by Step
We know that
$K_c=\frac{[product]^{coefficient }}{[reactant]^{coefficient }}$
$\implies K_c=\frac{[PCl_5]}{[PCl_3][Cl_2]}$
We plug in the known values to obtain:
$K_c=\frac{(0.00315)}{0.0037(0.0218)}=39.1$