Finding the Third Proportional to 10,496 and 16,249

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496 : 16,249 = 16,249 : x
2. Step 2: Convert to fraction form
   10,496/16,249 = 16,249/x
3. Step 3: Cross multiply
   10,496x = 16,249 × 16,249
4. Step 4: Simplify right side
   10,496x = 264,030,001
5. Step 5: Solve for x
   x = 264,030,001/10,496
6. Step 6: Final answer
   x = 25,155.30