Finding the Third Proportional to 10,400 and 23,744

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400 : 23,744 = 23,744 : x
2. Step 2: Convert to fraction form
   10,400/23,744 = 23,744/x
3. Step 3: Cross multiply
   10,400x = 23,744 × 23,744
4. Step 4: Simplify right side
   10,400x = 563,777,536
5. Step 5: Solve for x
   x = 563,777,536/10,400
6. Step 6: Final answer
   x = 54,209.38