[tex]\bf \stackrel{\textit{geometric mean of "x"}}{\cfrac{4}{x}=\cfrac{x}{6}}\implies 24=x^2\implies \sqrt{24}=x\implies \sqrt{4\cdot 6}=x \\\\\\ \sqrt{2^2\cdot 6}=x\implies 2\sqrt{6}=x[/tex]
Answer:
4√6
Step-by-step explanation: