Finding the Third Proportional to 1,139.75 and 1,785.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,139.75 : 1,785.38 = 1,785.38 : x
2. Step 2: Convert to fraction form
   1,139.75/1,785.38 = 1,785.38/x
3. Step 3: Cross multiply
   1,139.75x = 1,785.38 × 1,785.38
4. Step 4: Simplify right side
   1,139.75x = 3,187,563.89
5. Step 5: Solve for x
   x = 3,187,563.89/1,139.75
6. Step 6: Final answer
   x = 2,796.72