Finding the Third Proportional to 1,281.09 and 1,738.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,281.09 : 1,738.55 = 1,738.55 : x
2. Step 2: Convert to fraction form
   1,281.09/1,738.55 = 1,738.55/x
3. Step 3: Cross multiply
   1,281.09x = 1,738.55 × 1,738.55
4. Step 4: Simplify right side
   1,281.09x = 3,022,545.24
5. Step 5: Solve for x
   x = 3,022,545.24/1,281.09
6. Step 6: Final answer
   x = 2,359.35