Finding the Third Proportional to 27,540 and 42,555

Step by Step Solution

1. Step 1: Write the proportion equation
   27,540 : 42,555 = 42,555 : x
2. Step 2: Convert to fraction form
   27,540/42,555 = 42,555/x
3. Step 3: Cross multiply
   27,540x = 42,555 × 42,555
4. Step 4: Simplify right side
   27,540x = 1,810,928,025
5. Step 5: Solve for x
   x = 1,810,928,025/27,540
6. Step 6: Final answer
   x = 65,756.28