we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
y=kx
In this problem we have
[tex]y=k\sqrt{x}[/tex]we have that
For y=45 x=196
step 1
calculate the constant of proportionality k
substitute the value of y and the value of x in the expression above
[tex]\begin{gathered} 45=k\sqrt{196} \\ 45=k(14) \\ k=\frac{45}{14} \end{gathered}[/tex]step 2
we have the expression
[tex]y=\frac{45}{14}\sqrt{x}[/tex]step 3
For x=83
substitute
[tex]\begin{gathered} y=\frac{45}{14}\sqrt{83} \\ y=29.28 \end{gathered}[/tex]