Finding the Third Proportional to 1,107.03 and 1,661.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,107.03 : 1,661.61 = 1,661.61 : x
2. Step 2: Convert to fraction form
   1,107.03/1,661.61 = 1,661.61/x
3. Step 3: Cross multiply
   1,107.03x = 1,661.61 × 1,661.61
4. Step 4: Simplify right side
   1,107.03x = 2,760,939.22
5. Step 5: Solve for x
   x = 2,760,939.22/1,107.03
6. Step 6: Final answer
   x = 2,494.01