Finding the Third Proportional to 27,576 and 57,540

Step by Step Solution

1. Step 1: Write the proportion equation
   27,576 : 57,540 = 57,540 : x
2. Step 2: Convert to fraction form
   27,576/57,540 = 57,540/x
3. Step 3: Cross multiply
   27,576x = 57,540 × 57,540
4. Step 4: Simplify right side
   27,576x = 3,310,851,600
5. Step 5: Solve for x
   x = 3,310,851,600/27,576
6. Step 6: Final answer
   x = 120,062.79