Finding the Third Proportional to 27,540 and 59,130

Step by Step Solution

1. Step 1: Write the proportion equation
   27,540 : 59,130 = 59,130 : x
2. Step 2: Convert to fraction form
   27,540/59,130 = 59,130/x
3. Step 3: Cross multiply
   27,540x = 59,130 × 59,130
4. Step 4: Simplify right side
   27,540x = 3,496,356,900
5. Step 5: Solve for x
   x = 3,496,356,900/27,540
6. Step 6: Final answer
   x = 126,955.59