Finding the Third Proportional to 1,661.13 and 2,105.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,661.13 : 2,105.37 = 2,105.37 : x
2. Step 2: Convert to fraction form
   1,661.13/2,105.37 = 2,105.37/x
3. Step 3: Cross multiply
   1,661.13x = 2,105.37 × 2,105.37
4. Step 4: Simplify right side
   1,661.13x = 4,432,570.99
5. Step 5: Solve for x
   x = 4,432,570.99/1,661.13
6. Step 6: Final answer
   x = 2,668.40