Finding the Third Proportional to 5,429.53 and 8,227.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,429.53 : 8,227.83 = 8,227.83 : x
2. Step 2: Convert to fraction form
   5,429.53/8,227.83 = 8,227.83/x
3. Step 3: Cross multiply
   5,429.53x = 8,227.83 × 8,227.83
4. Step 4: Simplify right side
   5,429.53x = 67,697,155.65
5. Step 5: Solve for x
   x = 67,697,155.65/5,429.53
6. Step 6: Final answer
   x = 12,468.32