Finding the Third Proportional to 5,315.25 and 7,434.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,315.25 : 7,434.75 = 7,434.75 : x
2. Step 2: Convert to fraction form
   5,315.25/7,434.75 = 7,434.75/x
3. Step 3: Cross multiply
   5,315.25x = 7,434.75 × 7,434.75
4. Step 4: Simplify right side
   5,315.25x = 55,275,507.56
5. Step 5: Solve for x
   x = 55,275,507.56/5,315.25
6. Step 6: Final answer
   x = 10,399.42