$$\sqrt {11881} \times \sqrt ? = 10137$$

$$\eqalign{ & {\text{Let}}, \cr & \sqrt {11881} \times \sqrt x = 10137 \cr & {\text{Then}}, \cr & 109 \times \sqrt x = 10137 \cr & \Leftrightarrow \sqrt x = \frac{{10137}}{{109}} = 93 \cr & \Leftrightarrow x = {\left( {93} \right)^2} \cr & \Leftrightarrow x = 8649 \cr} $$