Finding the Third Proportional to 1,749.80 and 3,661.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,749.80 : 3,661.59 = 3,661.59 : x
2. Step 2: Convert to fraction form
   1,749.80/3,661.59 = 3,661.59/x
3. Step 3: Cross multiply
   1,749.80x = 3,661.59 × 3,661.59
4. Step 4: Simplify right side
   1,749.80x = 13,407,268.79
5. Step 5: Solve for x
   x = 13,407,268.79/1,749.80
6. Step 6: Final answer
   x = 7,662.19