Finding the Third Proportional to 31.96 and 69.29

Step by Step Solution

1. Step 1: Write the proportion equation
   31.96 : 69.29 = 69.29 : x
2. Step 2: Convert to fraction form
   31.96/69.29 = 69.29/x
3. Step 3: Cross multiply
   31.96x = 69.29 × 69.29
4. Step 4: Simplify right side
   31.96x = 4,801.52
5. Step 5: Solve for x
   x = 4,801.52/31.96
6. Step 6: Final answer
   x = 150.25