Finding the Third Proportional to 32.16 and 69.28

Step by Step Solution

1. Step 1: Write the proportion equation
   32.16 : 69.28 = 69.28 : x
2. Step 2: Convert to fraction form
   32.16/69.28 = 69.28/x
3. Step 3: Cross multiply
   32.16x = 69.28 × 69.28
4. Step 4: Simplify right side
   32.16x = 4,799.89
5. Step 5: Solve for x
   x = 4,799.89/32.16
6. Step 6: Final answer
   x = 149.27