Finding the Third Proportional to 31,892 and 69,830

Step by Step Solution

1. Step 1: Write the proportion equation
   31,892 : 69,830 = 69,830 : x
2. Step 2: Convert to fraction form
   31,892/69,830 = 69,830/x
3. Step 3: Cross multiply
   31,892x = 69,830 × 69,830
4. Step 4: Simplify right side
   31,892x = 4,876,228,900
5. Step 5: Solve for x
   x = 4,876,228,900/31,892
6. Step 6: Final answer
   x = 152,898.18