Finding the Third Proportional to 34,042 and 51,766

Step by Step Solution

1. Step 1: Write the proportion equation
   34,042 : 51,766 = 51,766 : x
2. Step 2: Convert to fraction form
   34,042/51,766 = 51,766/x
3. Step 3: Cross multiply
   34,042x = 51,766 × 51,766
4. Step 4: Simplify right side
   34,042x = 2,679,718,756
5. Step 5: Solve for x
   x = 2,679,718,756/34,042
6. Step 6: Final answer
   x = 78,718.02