Finding the Third Proportional to 10,524 and 16,468

Step by Step Solution

1. Step 1: Write the proportion equation
   10,524 : 16,468 = 16,468 : x
2. Step 2: Convert to fraction form
   10,524/16,468 = 16,468/x
3. Step 3: Cross multiply
   10,524x = 16,468 × 16,468
4. Step 4: Simplify right side
   10,524x = 271,195,024
5. Step 5: Solve for x
   x = 271,195,024/10,524
6. Step 6: Final answer
   x = 25,769.20