Finding the Third Proportional to 1,182.09 and 1,789.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.09 : 1,789.59 = 1,789.59 : x
2. Step 2: Convert to fraction form
   1,182.09/1,789.59 = 1,789.59/x
3. Step 3: Cross multiply
   1,182.09x = 1,789.59 × 1,789.59
4. Step 4: Simplify right side
   1,182.09x = 3,202,645.79
5. Step 5: Solve for x
   x = 3,202,645.79/1,182.09
6. Step 6: Final answer
   x = 2,709.30