Finding the Third Proportional to 15,642 and 34,398

Step by Step Solution

1. Step 1: Write the proportion equation
   15,642 : 34,398 = 34,398 : x
2. Step 2: Convert to fraction form
   15,642/34,398 = 34,398/x
3. Step 3: Cross multiply
   15,642x = 34,398 × 34,398
4. Step 4: Simplify right side
   15,642x = 1,183,222,404
5. Step 5: Solve for x
   x = 1,183,222,404/15,642
6. Step 6: Final answer
   x = 75,643.93