Step-by-step explanation:
By Geometric mean property:
[tex] {16}^{2} = x \times 3x \\ \\ \therefore \: 3 {x}^{2} = {16}^{2} \\ \\ \therefore \: {x}^{2} = \frac{{16}^{2} }{3} \\ \\ \therefore \: {x} = \sqrt{ \frac{{16}^{2} }{3} } \\ \\ \therefore \: {x} = { \frac{16}{ \sqrt{3} } } \\ \\ \therefore \: {x} = { \frac{16 \sqrt{3} }{ 3} } \\ \\ \therefore \: {x} = { \frac{16 \times 1.732}{ 3} } \\ \\ \therefore \: {x} = { \frac{27.712}{ 3} }\\ \\ \therefore \: {x} = 9.23733333 \\ \\ \huge \red{ \boxed{ \bold{\therefore \: {x} = 9.24}}}[/tex]
