Finding the Third Proportional to 10,414.83 and 14,882.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.83 : 14,882.70 = 14,882.70 : x
2. Step 2: Convert to fraction form
   10,414.83/14,882.70 = 14,882.70/x
3. Step 3: Cross multiply
   10,414.83x = 14,882.70 × 14,882.70
4. Step 4: Simplify right side
   10,414.83x = 221,494,619.76
5. Step 5: Solve for x
   x = 221,494,619.76/10,414.83
6. Step 6: Final answer
   x = 21,267.24