Finding the Third Proportional to 40,426 and 57,766

Step by Step Solution

1. Step 1: Write the proportion equation
   40,426 : 57,766 = 57,766 : x
2. Step 2: Convert to fraction form
   40,426/57,766 = 57,766/x
3. Step 3: Cross multiply
   40,426x = 57,766 × 57,766
4. Step 4: Simplify right side
   40,426x = 3,336,910,756
5. Step 5: Solve for x
   x = 3,336,910,756/40,426
6. Step 6: Final answer
   x = 82,543.68