Finding the Third Proportional to 40,780 and 57,427

Step by Step Solution

1. Step 1: Write the proportion equation
   40,780 : 57,427 = 57,427 : x
2. Step 2: Convert to fraction form
   40,780/57,427 = 57,427/x
3. Step 3: Cross multiply
   40,780x = 57,427 × 57,427
4. Step 4: Simplify right side
   40,780x = 3,297,860,329
5. Step 5: Solve for x
   x = 3,297,860,329/40,780
6. Step 6: Final answer
   x = 80,869.55