Finding the Third Proportional to 14.90 and 32.02

Step by Step Solution

1. Step 1: Write the proportion equation
   14.90 : 32.02 = 32.02 : x
2. Step 2: Convert to fraction form
   14.90/32.02 = 32.02/x
3. Step 3: Cross multiply
   14.90x = 32.02 × 32.02
4. Step 4: Simplify right side
   14.90x = 1,025.47
5. Step 5: Solve for x
   x = 1,025.47/14.90
6. Step 6: Final answer
   x = 68.83