Finding the Third Proportional to 2,689.88 and 5,791.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,689.88 : 5,791.69 = 5,791.69 : x
2. Step 2: Convert to fraction form
   2,689.88/5,791.69 = 5,791.69/x
3. Step 3: Cross multiply
   2,689.88x = 5,791.69 × 5,791.69
4. Step 4: Simplify right side
   2,689.88x = 33,543,644.10
5. Step 5: Solve for x
   x = 33,543,644.10/2,689.88
6. Step 6: Final answer
   x = 12,470.34