Finding the Third Proportional to 10,792 and 16,198

Step by Step Solution

1. Step 1: Write the proportion equation
   10,792 : 16,198 = 16,198 : x
2. Step 2: Convert to fraction form
   10,792/16,198 = 16,198/x
3. Step 3: Cross multiply
   10,792x = 16,198 × 16,198
4. Step 4: Simplify right side
   10,792x = 262,375,204
5. Step 5: Solve for x
   x = 262,375,204/10,792
6. Step 6: Final answer
   x = 24,312.01