Finding the Third Proportional to 10,540 and 23,413

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 23,413 = 23,413 : x
2. Step 2: Convert to fraction form
   10,540/23,413 = 23,413/x
3. Step 3: Cross multiply
   10,540x = 23,413 × 23,413
4. Step 4: Simplify right side
   10,540x = 548,168,569
5. Step 5: Solve for x
   x = 548,168,569/10,540
6. Step 6: Final answer
   x = 52,008.40