Finding the Third Proportional to 51,714 and 80,766

Step by Step Solution

1. Step 1: Write the proportion equation
   51,714 : 80,766 = 80,766 : x
2. Step 2: Convert to fraction form
   51,714/80,766 = 80,766/x
3. Step 3: Cross multiply
   51,714x = 80,766 × 80,766
4. Step 4: Simplify right side
   51,714x = 6,523,146,756
5. Step 5: Solve for x
   x = 6,523,146,756/51,714
6. Step 6: Final answer
   x = 126,138.89