Finding the Third Proportional to 5,411.81 and 8,227.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,411.81 : 8,227.69 = 8,227.69 : x
2. Step 2: Convert to fraction form
   5,411.81/8,227.69 = 8,227.69/x
3. Step 3: Cross multiply
   5,411.81x = 8,227.69 × 8,227.69
4. Step 4: Simplify right side
   5,411.81x = 67,694,841.60
5. Step 5: Solve for x
   x = 67,694,841.60/5,411.81
6. Step 6: Final answer
   x = 12,508.72