Which number can replace both the question marks in the equation ? 41/2? = ?32

Answer: Option D

$$\begin{array}{rl}& \text{Let,}\\ & \frac{4\frac{1}{2}}{x}=\frac{x}{32}\\ & \text{Then,}\\ & \iff x^2=32\times \frac{9}{2}\\ & \iff x^2=144\\ & \iff x=\sqrt{144}\\ & \iff x=12\end{array}$$