Finding the Third Proportional to 31,883.25 and 69,826.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31,883.25 : 69,826.88 = 69,826.88 : x
2. Step 2: Convert to fraction form
   31,883.25/69,826.88 = 69,826.88/x
3. Step 3: Cross multiply
   31,883.25x = 69,826.88 × 69,826.88
4. Step 4: Simplify right side
   31,883.25x = 4,875,792,472.27
5. Step 5: Solve for x
   x = 4,875,792,472.27/31,883.25
6. Step 6: Final answer
   x = 152,926.46