Finding the Third Proportional to 40,778 and 57,424

Step by Step Solution

1. Step 1: Write the proportion equation
   40,778 : 57,424 = 57,424 : x
2. Step 2: Convert to fraction form
   40,778/57,424 = 57,424/x
3. Step 3: Cross multiply
   40,778x = 57,424 × 57,424
4. Step 4: Simplify right side
   40,778x = 3,297,515,776
5. Step 5: Solve for x
   x = 3,297,515,776/40,778
6. Step 6: Final answer
   x = 80,865.07