Finding the Third Proportional to 31,779 and 69,092

Step by Step Solution

1. Step 1: Write the proportion equation
   31,779 : 69,092 = 69,092 : x
2. Step 2: Convert to fraction form
   31,779/69,092 = 69,092/x
3. Step 3: Cross multiply
   31,779x = 69,092 × 69,092
4. Step 4: Simplify right side
   31,779x = 4,773,704,464
5. Step 5: Solve for x
   x = 4,773,704,464/31,779
6. Step 6: Final answer
   x = 150,215.69