Finding the Third Proportional to 5,177.25 and 8,022.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,177.25 : 8,022.38 = 8,022.38 : x
2. Step 2: Convert to fraction form
   5,177.25/8,022.38 = 8,022.38/x
3. Step 3: Cross multiply
   5,177.25x = 8,022.38 × 8,022.38
4. Step 4: Simplify right side
   5,177.25x = 64,358,500.64
5. Step 5: Solve for x
   x = 64,358,500.64/5,177.25
6. Step 6: Final answer
   x = 12,431.02