Finding the Third Proportional to 31,822.88 and 69,766.31

Step by Step Solution

1. Step 1: Write the proportion equation
   31,822.88 : 69,766.31 = 69,766.31 : x
2. Step 2: Convert to fraction form
   31,822.88/69,766.31 = 69,766.31/x
3. Step 3: Cross multiply
   31,822.88x = 69,766.31 × 69,766.31
4. Step 4: Simplify right side
   31,822.88x = 4,867,338,359.85
5. Step 5: Solve for x
   x = 4,867,338,359.85/31,822.88
6. Step 6: Final answer
   x = 152,950.93