Finding the Third Proportional to 2,601.28 and 5,689.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,601.28 : 5,689.20 = 5,689.20 : x
2. Step 2: Convert to fraction form
   2,601.28/5,689.20 = 5,689.20/x
3. Step 3: Cross multiply
   2,601.28x = 5,689.20 × 5,689.20
4. Step 4: Simplify right side
   2,601.28x = 32,366,943.30
5. Step 5: Solve for x
   x = 32,366,943.30/2,601.28
6. Step 6: Final answer
   x = 12,442.69