Finding the Third Proportional to 5,815.13 and 8,233.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,815.13 : 8,233.31 = 8,233.31 : x
2. Step 2: Convert to fraction form
   5,815.13/8,233.31 = 8,233.31/x
3. Step 3: Cross multiply
   5,815.13x = 8,233.31 × 8,233.31
4. Step 4: Simplify right side
   5,815.13x = 67,787,434.72
5. Step 5: Solve for x
   x = 67,787,434.72/5,815.13
6. Step 6: Final answer
   x = 11,657.09