Answer
$x\approx25.43$
Work Step by Step
The triangle is shown in the attached image below.
Angles $A$ and $B$ are known. Since $\angle A+\angle B+\angle C=180^{\circ}$, substitute the known angles into the formula and solve for $\angle C$:
$\angle C=180^{\circ}-37.5^{\circ}-28.1^{\circ}=114.4^{\circ}$
Substitute the known values into the formula $\dfrac{\sin A}{a}=\dfrac{\sin C}{x}$, obtained from the Law of Sines and solve for the unknown side $x$:
$\dfrac{\sin37.5^{\circ}}{17}=\dfrac{\sin114.4^{\circ}}{x}$
$\dfrac{17}{\sin37.5^{\circ}}=\dfrac{x}{\sin114.4^{\circ}}$
$x=\Big(\dfrac{\sin114.4^{\circ}}{\sin37.5^{\circ}}\Big)17\approx25.43$
