Finding the Third Proportional to 36.38 and 77.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36.38 : 77.25 = 77.25 : x
2. Step 2: Convert to fraction form
   36.38/77.25 = 77.25/x
3. Step 3: Cross multiply
   36.38x = 77.25 × 77.25
4. Step 4: Simplify right side
   36.38x = 5,967.56
5. Step 5: Solve for x
   x = 5,967.56/36.38
6. Step 6: Final answer
   x = 164.06