Finding the Third Proportional to 997.69 and 1,661.06

Step by Step Solution

1. Step 1: Write the proportion equation
   997.69 : 1,661.06 = 1,661.06 : x
2. Step 2: Convert to fraction form
   997.69/1,661.06 = 1,661.06/x
3. Step 3: Cross multiply
   997.69x = 1,661.06 × 1,661.06
4. Step 4: Simplify right side
   997.69x = 2,759,128.63
5. Step 5: Solve for x
   x = 2,759,128.63/997.69
6. Step 6: Final answer
   x = 2,765.52