Finding the Third Proportional to 1,139.06 and 1,759.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,139.06 : 1,759.85 = 1,759.85 : x
2. Step 2: Convert to fraction form
   1,139.06/1,759.85 = 1,759.85/x
3. Step 3: Cross multiply
   1,139.06x = 1,759.85 × 1,759.85
4. Step 4: Simplify right side
   1,139.06x = 3,097,077.52
5. Step 5: Solve for x
   x = 3,097,077.52/1,139.06
6. Step 6: Final answer
   x = 2,718.97