Finding the Third Proportional to 31,902 and 69,850

Step by Step Solution

1. Step 1: Write the proportion equation
   31,902 : 69,850 = 69,850 : x
2. Step 2: Convert to fraction form
   31,902/69,850 = 69,850/x
3. Step 3: Cross multiply
   31,902x = 69,850 × 69,850
4. Step 4: Simplify right side
   31,902x = 4,879,022,500
5. Step 5: Solve for x
   x = 4,879,022,500/31,902
6. Step 6: Final answer
   x = 152,937.83