Finding the Third Proportional to 15,406 and 32,540

Step by Step Solution

1. Step 1: Write the proportion equation
   15,406 : 32,540 = 32,540 : x
2. Step 2: Convert to fraction form
   15,406/32,540 = 32,540/x
3. Step 3: Cross multiply
   15,406x = 32,540 × 32,540
4. Step 4: Simplify right side
   15,406x = 1,058,851,600
5. Step 5: Solve for x
   x = 1,058,851,600/15,406
6. Step 6: Final answer
   x = 68,729.82