Finding the Third Proportional to 5,286.94 and 7,414.03

Step by Step Solution

1. Step 1: Write the proportion equation
   5,286.94 : 7,414.03 = 7,414.03 : x
2. Step 2: Convert to fraction form
   5,286.94/7,414.03 = 7,414.03/x
3. Step 3: Cross multiply
   5,286.94x = 7,414.03 × 7,414.03
4. Step 4: Simplify right side
   5,286.94x = 54,967,859.38
5. Step 5: Solve for x
   x = 54,967,859.38/5,286.94
6. Step 6: Final answer
   x = 10,396.92