Finding the Third Proportional to 3,380.64 and 7,399.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,380.64 : 7,399.16 = 7,399.16 : x
2. Step 2: Convert to fraction form
   3,380.64/7,399.16 = 7,399.16/x
3. Step 3: Cross multiply
   3,380.64x = 7,399.16 × 7,399.16
4. Step 4: Simplify right side
   3,380.64x = 54,747,571.02
5. Step 5: Solve for x
   x = 54,747,571.02/3,380.64
6. Step 6: Final answer
   x = 16,194.43