Finding the Third Proportional to 32.50 and 75.88

Step by Step Solution

1. Step 1: Write the proportion equation
   32.50 : 75.88 = 75.88 : x
2. Step 2: Convert to fraction form
   32.50/75.88 = 75.88/x
3. Step 3: Cross multiply
   32.50x = 75.88 × 75.88
4. Step 4: Simplify right side
   32.50x = 5,757.02
5. Step 5: Solve for x
   x = 5,757.02/32.50
6. Step 6: Final answer
   x = 177.14