Finding the Third Proportional to 32.88 and 72.13

Step by Step Solution

1. Step 1: Write the proportion equation
   32.88 : 72.13 = 72.13 : x
2. Step 2: Convert to fraction form
   32.88/72.13 = 72.13/x
3. Step 3: Cross multiply
   32.88x = 72.13 × 72.13
4. Step 4: Simplify right side
   32.88x = 5,202.02
5. Step 5: Solve for x
   x = 5,202.02/32.88
6. Step 6: Final answer
   x = 158.24