Finding the Third Proportional to 10,575 and 16,398

Step by Step Solution

1. Step 1: Write the proportion equation
   10,575 : 16,398 = 16,398 : x
2. Step 2: Convert to fraction form
   10,575/16,398 = 16,398/x
3. Step 3: Cross multiply
   10,575x = 16,398 × 16,398
4. Step 4: Simplify right side
   10,575x = 268,894,404
5. Step 5: Solve for x
   x = 268,894,404/10,575
6. Step 6: Final answer
   x = 25,427.37