Finding the Third Proportional to 12,546 and 17,540

Step by Step Solution

1. Step 1: Write the proportion equation
   12,546 : 17,540 = 17,540 : x
2. Step 2: Convert to fraction form
   12,546/17,540 = 17,540/x
3. Step 3: Cross multiply
   12,546x = 17,540 × 17,540
4. Step 4: Simplify right side
   12,546x = 307,651,600
5. Step 5: Solve for x
   x = 307,651,600/12,546
6. Step 6: Final answer
   x = 24,521.89