Finding the Third Proportional to 3,940.31 and 5,257.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,940.31 : 5,257.69 = 5,257.69 : x
2. Step 2: Convert to fraction form
   3,940.31/5,257.69 = 5,257.69/x
3. Step 3: Cross multiply
   3,940.31x = 5,257.69 × 5,257.69
4. Step 4: Simplify right side
   3,940.31x = 27,643,277.85
5. Step 5: Solve for x
   x = 27,643,277.85/3,940.31
6. Step 6: Final answer
   x = 7,015.50