Finding the Third Proportional to 4,414.50 and 9,426.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,414.50 : 9,426.38 = 9,426.38 : x
2. Step 2: Convert to fraction form
   4,414.50/9,426.38 = 9,426.38/x
3. Step 3: Cross multiply
   4,414.50x = 9,426.38 × 9,426.38
4. Step 4: Simplify right side
   4,414.50x = 88,856,545.64
5. Step 5: Solve for x
   x = 88,856,545.64/4,414.50
6. Step 6: Final answer
   x = 20,128.34