Finding the Third Proportional to 9,726.75 and 20,423.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,726.75 : 20,423.25 = 20,423.25 : x
2. Step 2: Convert to fraction form
   9,726.75/20,423.25 = 20,423.25/x
3. Step 3: Cross multiply
   9,726.75x = 20,423.25 × 20,423.25
4. Step 4: Simplify right side
   9,726.75x = 417,109,140.56
5. Step 5: Solve for x
   x = 417,109,140.56/9,726.75
6. Step 6: Final answer
   x = 42,882.68