Using the properties of proportion, solve the following equation $\frac{5\mathrm{x}+\left({\mathrm{x}}^2-1\right)}{5\mathrm{x}-\left({\mathrm{x}}^2-1\right)}=\frac{7}{5}$.

Using properties of proportion, solve for $\mathrm{x}$. Given that $\mathrm{x}$ is positive.

$\frac{2\mathrm{x}+\sqrt{4{\mathrm{x}}^2-1}}{2\mathrm{x}-\sqrt{4{\mathrm{x}}^2-1}}=4$