Finding the Third Proportional to 1,305.56 and 2,759.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,305.56 : 2,759.06 = 2,759.06 : x
2. Step 2: Convert to fraction form
   1,305.56/2,759.06 = 2,759.06/x
3. Step 3: Cross multiply
   1,305.56x = 2,759.06 × 2,759.06
4. Step 4: Simplify right side
   1,305.56x = 7,612,425.88
5. Step 5: Solve for x
   x = 7,612,425.88/1,305.56
6. Step 6: Final answer
   x = 5,830.76