Finding the Third Proportional to 1,099.75 and 1,613.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.75 : 1,613.63 = 1,613.63 : x
2. Step 2: Convert to fraction form
   1,099.75/1,613.63 = 1,613.63/x
3. Step 3: Cross multiply
   1,099.75x = 1,613.63 × 1,613.63
4. Step 4: Simplify right side
   1,099.75x = 2,603,785.64
5. Step 5: Solve for x
   x = 2,603,785.64/1,099.75
6. Step 6: Final answer
   x = 2,367.62