Finding the Third Proportional to 31,687 and 69,674

Step by Step Solution

1. Step 1: Write the proportion equation
   31,687 : 69,674 = 69,674 : x
2. Step 2: Convert to fraction form
   31,687/69,674 = 69,674/x
3. Step 3: Cross multiply
   31,687x = 69,674 × 69,674
4. Step 4: Simplify right side
   31,687x = 4,854,466,276
5. Step 5: Solve for x
   x = 4,854,466,276/31,687
6. Step 6: Final answer
   x = 153,200.56