Finding the Third Proportional to 40,229.75 and 56,270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,229.75 : 56,270.50 = 56,270.50 : x
2. Step 2: Convert to fraction form
   40,229.75/56,270.50 = 56,270.50/x
3. Step 3: Cross multiply
   40,229.75x = 56,270.50 × 56,270.50
4. Step 4: Simplify right side
   40,229.75x = 3,166,369,170.25
5. Step 5: Solve for x
   x = 3,166,369,170.25/40,229.75
6. Step 6: Final answer
   x = 78,707.16