Finding the Third Proportional to 5,162 and 10,198

Step by Step Solution

1. Step 1: Write the proportion equation
   5,162 : 10,198 = 10,198 : x
2. Step 2: Convert to fraction form
   5,162/10,198 = 10,198/x
3. Step 3: Cross multiply
   5,162x = 10,198 × 10,198
4. Step 4: Simplify right side
   5,162x = 103,999,204
5. Step 5: Solve for x
   x = 103,999,204/5,162
6. Step 6: Final answer
   x = 20,147.08