Finding the Third Proportional to 31.32 and 67.24

Step by Step Solution

1. Step 1: Write the proportion equation
   31.32 : 67.24 = 67.24 : x
2. Step 2: Convert to fraction form
   31.32/67.24 = 67.24/x
3. Step 3: Cross multiply
   31.32x = 67.24 × 67.24
4. Step 4: Simplify right side
   31.32x = 4,520.72
5. Step 5: Solve for x
   x = 4,520.72/31.32
6. Step 6: Final answer
   x = 144.32