Finding the Third Proportional to 1,099.69 and 1,693.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.69 : 1,693.69 = 1,693.69 : x
2. Step 2: Convert to fraction form
   1,099.69/1,693.69 = 1,693.69/x
3. Step 3: Cross multiply
   1,099.69x = 1,693.69 × 1,693.69
4. Step 4: Simplify right side
   1,099.69x = 2,868,577.35
5. Step 5: Solve for x
   x = 2,868,577.35/1,099.69
6. Step 6: Final answer
   x = 2,608.54