Finding the Third Proportional to 5,359.25 and 8,243.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,359.25 : 8,243.75 = 8,243.75 : x
2. Step 2: Convert to fraction form
   5,359.25/8,243.75 = 8,243.75/x
3. Step 3: Cross multiply
   5,359.25x = 8,243.75 × 8,243.75
4. Step 4: Simplify right side
   5,359.25x = 67,959,414.06
5. Step 5: Solve for x
   x = 67,959,414.06/5,359.25
6. Step 6: Final answer
   x = 12,680.77