Finding the Third Proportional to 1,305.07 and 2,738.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,305.07 : 2,738.29 = 2,738.29 : x
2. Step 2: Convert to fraction form
   1,305.07/2,738.29 = 2,738.29/x
3. Step 3: Cross multiply
   1,305.07x = 2,738.29 × 2,738.29
4. Step 4: Simplify right side
   1,305.07x = 7,498,205.60
5. Step 5: Solve for x
   x = 7,498,205.60/1,305.07
6. Step 6: Final answer
   x = 5,745.44