Finding the Third Proportional to 2,537 and 5,398

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537 : 5,398 = 5,398 : x
2. Step 2: Convert to fraction form
   2,537/5,398 = 5,398/x
3. Step 3: Cross multiply
   2,537x = 5,398 × 5,398
4. Step 4: Simplify right side
   2,537x = 29,138,404
5. Step 5: Solve for x
   x = 29,138,404/2,537
6. Step 6: Final answer
   x = 11,485.38