Finding the Third Proportional to 10,848 and 16,198

Step by Step Solution

1. Step 1: Write the proportion equation
   10,848 : 16,198 = 16,198 : x
2. Step 2: Convert to fraction form
   10,848/16,198 = 16,198/x
3. Step 3: Cross multiply
   10,848x = 16,198 × 16,198
4. Step 4: Simplify right side
   10,848x = 262,375,204
5. Step 5: Solve for x
   x = 262,375,204/10,848
6. Step 6: Final answer
   x = 24,186.50