Finding the Third Proportional to 27,540 and 59,077

Step by Step Solution

1. Step 1: Write the proportion equation
   27,540 : 59,077 = 59,077 : x
2. Step 2: Convert to fraction form
   27,540/59,077 = 59,077/x
3. Step 3: Cross multiply
   27,540x = 59,077 × 59,077
4. Step 4: Simplify right side
   27,540x = 3,490,091,929
5. Step 5: Solve for x
   x = 3,490,091,929/27,540
6. Step 6: Final answer
   x = 126,728.10