Finding the Third Proportional to 13,407 and 20,398

Step by Step Solution

1. Step 1: Write the proportion equation
   13,407 : 20,398 = 20,398 : x
2. Step 2: Convert to fraction form
   13,407/20,398 = 20,398/x
3. Step 3: Cross multiply
   13,407x = 20,398 × 20,398
4. Step 4: Simplify right side
   13,407x = 416,078,404
5. Step 5: Solve for x
   x = 416,078,404/13,407
6. Step 6: Final answer
   x = 31,034.42