Finding the Third Proportional to 2,500 and 5,198

Step by Step Solution

1. Step 1: Write the proportion equation
   2,500 : 5,198 = 5,198 : x
2. Step 2: Convert to fraction form
   2,500/5,198 = 5,198/x
3. Step 3: Cross multiply
   2,500x = 5,198 × 5,198
4. Step 4: Simplify right side
   2,500x = 27,019,204
5. Step 5: Solve for x
   x = 27,019,204/2,500
6. Step 6: Final answer
   x = 10,807.68