Finding the Third Proportional to 5,338.82 and 8,217.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,338.82 : 8,217.27 = 8,217.27 : x
2. Step 2: Convert to fraction form
   5,338.82/8,217.27 = 8,217.27/x
3. Step 3: Cross multiply
   5,338.82x = 8,217.27 × 8,217.27
4. Step 4: Simplify right side
   5,338.82x = 67,523,494.48
5. Step 5: Solve for x
   x = 67,523,494.48/5,338.82
6. Step 6: Final answer
   x = 12,647.64