Finding the Third Proportional to 1,289.25 and 2,682.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,289.25 : 2,682.28 = 2,682.28 : x
2. Step 2: Convert to fraction form
   1,289.25/2,682.28 = 2,682.28/x
3. Step 3: Cross multiply
   1,289.25x = 2,682.28 × 2,682.28
4. Step 4: Simplify right side
   1,289.25x = 7,194,632.70
5. Step 5: Solve for x
   x = 7,194,632.70/1,289.25
6. Step 6: Final answer
   x = 5,580.48