Finding the Third Proportional to 10,423.88 and 15,726.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423.88 : 15,726.38 = 15,726.38 : x
2. Step 2: Convert to fraction form
   10,423.88/15,726.38 = 15,726.38/x
3. Step 3: Cross multiply
   10,423.88x = 15,726.38 × 15,726.38
4. Step 4: Simplify right side
   10,423.88x = 247,318,870.64
5. Step 5: Solve for x
   x = 247,318,870.64/10,423.88
6. Step 6: Final answer
   x = 23,726.19