Finding the Third Proportional to 12,116 and 16,198

Step by Step Solution

1. Step 1: Write the proportion equation
   12,116 : 16,198 = 16,198 : x
2. Step 2: Convert to fraction form
   12,116/16,198 = 16,198/x
3. Step 3: Cross multiply
   12,116x = 16,198 × 16,198
4. Step 4: Simplify right side
   12,116x = 262,375,204
5. Step 5: Solve for x
   x = 262,375,204/12,116
6. Step 6: Final answer
   x = 21,655.27