Finding the Third Proportional to 1,128.09 and 1,661.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,128.09 : 1,661.77 = 1,661.77 : x
2. Step 2: Convert to fraction form
   1,128.09/1,661.77 = 1,661.77/x
3. Step 3: Cross multiply
   1,128.09x = 1,661.77 × 1,661.77
4. Step 4: Simplify right side
   1,128.09x = 2,761,464.99
5. Step 5: Solve for x
   x = 2,761,464.99/1,128.09
6. Step 6: Final answer
   x = 2,447.90