Finding the Third Proportional to 32.13 and 52.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32.13 : 52.50 = 52.50 : x
2. Step 2: Convert to fraction form
   32.13/52.50 = 52.50/x
3. Step 3: Cross multiply
   32.13x = 52.50 × 52.50
4. Step 4: Simplify right side
   32.13x = 2,756.25
5. Step 5: Solve for x
   x = 2,756.25/32.13
6. Step 6: Final answer
   x = 85.80