Finding the Third Proportional to 10,524 and 16,294

Step by Step Solution

1. Step 1: Write the proportion equation
   10,524 : 16,294 = 16,294 : x
2. Step 2: Convert to fraction form
   10,524/16,294 = 16,294/x
3. Step 3: Cross multiply
   10,524x = 16,294 × 16,294
4. Step 4: Simplify right side
   10,524x = 265,494,436
5. Step 5: Solve for x
   x = 265,494,436/10,524
6. Step 6: Final answer
   x = 25,227.52