Finding the Third Proportional to 5,359.50 and 8,282.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,359.50 : 8,282.25 = 8,282.25 : x
2. Step 2: Convert to fraction form
   5,359.50/8,282.25 = 8,282.25/x
3. Step 3: Cross multiply
   5,359.50x = 8,282.25 × 8,282.25
4. Step 4: Simplify right side
   5,359.50x = 68,595,665.06
5. Step 5: Solve for x
   x = 68,595,665.06/5,359.50
6. Step 6: Final answer
   x = 12,798.89