Answer:
[tex]\Large \boxed{\displaystyle y=\sqrt{\frac{z \cdot w}{x}}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{w} =\frac{z}{y^2 }[/tex]
Cross multiplication.
[tex]x \cdot y^2 =z \cdot w[/tex]
Dividing both sides by [tex]x[/tex].
[tex]\displaystyle \frac{x \cdot y^2 }{x} =\frac{z \cdot w}{x}[/tex]
[tex]\displaystyle y^2 =\frac{z \cdot w}{x}[/tex]
Taking the square root of both sides.
[tex]\displaystyle \sqrt{y^2 } =\sqrt{\frac{z \cdot w}{x}}[/tex]
[tex]\displaystyle y=\sqrt{\frac{z \cdot w}{x}}[/tex]
