Finding the Third Proportional to 5,256 and 12,398

Step by Step Solution

1. Step 1: Write the proportion equation
   5,256 : 12,398 = 12,398 : x
2. Step 2: Convert to fraction form
   5,256/12,398 = 12,398/x
3. Step 3: Cross multiply
   5,256x = 12,398 × 12,398
4. Step 4: Simplify right side
   5,256x = 153,710,404
5. Step 5: Solve for x
   x = 153,710,404/5,256
6. Step 6: Final answer
   x = 29,244.75