Finding the Third Proportional to 26,871 and 59,034

Step by Step Solution

1. Step 1: Write the proportion equation
   26,871 : 59,034 = 59,034 : x
2. Step 2: Convert to fraction form
   26,871/59,034 = 59,034/x
3. Step 3: Cross multiply
   26,871x = 59,034 × 59,034
4. Step 4: Simplify right side
   26,871x = 3,485,013,156
5. Step 5: Solve for x
   x = 3,485,013,156/26,871
6. Step 6: Final answer
   x = 129,694.21