Finding the Third Proportional to 2,827.69 and 5,731.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,827.69 : 5,731.31 = 5,731.31 : x
2. Step 2: Convert to fraction form
   2,827.69/5,731.31 = 5,731.31/x
3. Step 3: Cross multiply
   2,827.69x = 5,731.31 × 5,731.31
4. Step 4: Simplify right side
   2,827.69x = 32,847,942.97
5. Step 5: Solve for x
   x = 32,847,942.97/2,827.69
6. Step 6: Final answer
   x = 11,616.54