Finding the Third Proportional to 14,771 and 31,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,771 : 31,889.50 = 31,889.50 : x
2. Step 2: Convert to fraction form
   14,771/31,889.50 = 31,889.50/x
3. Step 3: Cross multiply
   14,771x = 31,889.50 × 31,889.50
4. Step 4: Simplify right side
   14,771x = 1,016,940,210.25
5. Step 5: Solve for x
   x = 1,016,940,210.25/14,771
6. Step 6: Final answer
   x = 68,847.08