Finding the Third Proportional to 27,574 and 59,034

Step by Step Solution

1. Step 1: Write the proportion equation
   27,574 : 59,034 = 59,034 : x
2. Step 2: Convert to fraction form
   27,574/59,034 = 59,034/x
3. Step 3: Cross multiply
   27,574x = 59,034 × 59,034
4. Step 4: Simplify right side
   27,574x = 3,485,013,156
5. Step 5: Solve for x
   x = 3,485,013,156/27,574
6. Step 6: Final answer
   x = 126,387.65