Finding the Third Proportional to 14.88 and 32.69

Step by Step Solution

1. Step 1: Write the proportion equation
   14.88 : 32.69 = 32.69 : x
2. Step 2: Convert to fraction form
   14.88/32.69 = 32.69/x
3. Step 3: Cross multiply
   14.88x = 32.69 × 32.69
4. Step 4: Simplify right side
   14.88x = 1,068.47
5. Step 5: Solve for x
   x = 1,068.47/14.88
6. Step 6: Final answer
   x = 71.83