Finding the Third Proportional to 14,566.50 and 31,876.88

Step by Step Solution

1. Step 1: Write the proportion equation
   14,566.50 : 31,876.88 = 31,876.88 : x
2. Step 2: Convert to fraction form
   14,566.50/31,876.88 = 31,876.88/x
3. Step 3: Cross multiply
   14,566.50x = 31,876.88 × 31,876.88
4. Step 4: Simplify right side
   14,566.50x = 1,016,135,159.77
5. Step 5: Solve for x
   x = 1,016,135,159.77/14,566.50
6. Step 6: Final answer
   x = 69,758.36