Finding the Third Proportional to 5,811.75 and 8,229.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,811.75 : 8,229.38 = 8,229.38 : x
2. Step 2: Convert to fraction form
   5,811.75/8,229.38 = 8,229.38/x
3. Step 3: Cross multiply
   5,811.75x = 8,229.38 × 8,229.38
4. Step 4: Simplify right side
   5,811.75x = 67,722,612.89
5. Step 5: Solve for x
   x = 67,722,612.89/5,811.75
6. Step 6: Final answer
   x = 11,652.71