Finding the Third Proportional to 17,782 and 27,540

Step by Step Solution

1. Step 1: Write the proportion equation
   17,782 : 27,540 = 27,540 : x
2. Step 2: Convert to fraction form
   17,782/27,540 = 27,540/x
3. Step 3: Cross multiply
   17,782x = 27,540 × 27,540
4. Step 4: Simplify right side
   17,782x = 758,451,600
5. Step 5: Solve for x
   x = 758,451,600/17,782
6. Step 6: Final answer
   x = 42,652.77