Finding the Third Proportional to 1,099.50 and 1,661

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.50 : 1,661 = 1,661 : x
2. Step 2: Convert to fraction form
   1,099.50/1,661 = 1,661/x
3. Step 3: Cross multiply
   1,099.50x = 1,661 × 1,661
4. Step 4: Simplify right side
   1,099.50x = 2,758,921
5. Step 5: Solve for x
   x = 2,758,921/1,099.50
6. Step 6: Final answer
   x = 2,509.25