Finding the Third Proportional to 31,750 and 69,766

Step by Step Solution

1. Step 1: Write the proportion equation
   31,750 : 69,766 = 69,766 : x
2. Step 2: Convert to fraction form
   31,750/69,766 = 69,766/x
3. Step 3: Cross multiply
   31,750x = 69,766 × 69,766
4. Step 4: Simplify right side
   31,750x = 4,867,294,756
5. Step 5: Solve for x
   x = 4,867,294,756/31,750
6. Step 6: Final answer
   x = 153,300.62