Finding the Third Proportional to 5,257.97 and 8,046.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,257.97 : 8,046.56 = 8,046.56 : x
2. Step 2: Convert to fraction form
   5,257.97/8,046.56 = 8,046.56/x
3. Step 3: Cross multiply
   5,257.97x = 8,046.56 × 8,046.56
4. Step 4: Simplify right side
   5,257.97x = 64,747,168.07
5. Step 5: Solve for x
   x = 64,747,168.07/5,257.97
6. Step 6: Final answer
   x = 12,314.10