Finding the Third Proportional to 5,279.50 and 8,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,279.50 : 8,243.50 = 8,243.50 : x
2. Step 2: Convert to fraction form
   5,279.50/8,243.50 = 8,243.50/x
3. Step 3: Cross multiply
   5,279.50x = 8,243.50 × 8,243.50
4. Step 4: Simplify right side
   5,279.50x = 67,955,292.25
5. Step 5: Solve for x
   x = 67,955,292.25/5,279.50
6. Step 6: Final answer
   x = 12,871.54