Finding the Third Proportional to 40,777.50 and 57,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,777.50 : 57,424.50 = 57,424.50 : x
2. Step 2: Convert to fraction form
   40,777.50/57,424.50 = 57,424.50/x
3. Step 3: Cross multiply
   40,777.50x = 57,424.50 × 57,424.50
4. Step 4: Simplify right side
   40,777.50x = 3,297,573,200.25
5. Step 5: Solve for x
   x = 3,297,573,200.25/40,777.50
6. Step 6: Final answer
   x = 80,867.47