Finding the Third Proportional to 32,057 and 49,766

Step by Step Solution

1. Step 1: Write the proportion equation
   32,057 : 49,766 = 49,766 : x
2. Step 2: Convert to fraction form
   32,057/49,766 = 49,766/x
3. Step 3: Cross multiply
   32,057x = 49,766 × 49,766
4. Step 4: Simplify right side
   32,057x = 2,476,654,756
5. Step 5: Solve for x
   x = 2,476,654,756/32,057
6. Step 6: Final answer
   x = 77,257.85