Finding the Third Proportional to 31,929 and 69,385

Step by Step Solution

1. Step 1: Write the proportion equation
   31,929 : 69,385 = 69,385 : x
2. Step 2: Convert to fraction form
   31,929/69,385 = 69,385/x
3. Step 3: Cross multiply
   31,929x = 69,385 × 69,385
4. Step 4: Simplify right side
   31,929x = 4,814,278,225
5. Step 5: Solve for x
   x = 4,814,278,225/31,929
6. Step 6: Final answer
   x = 150,780.74