Finding the Third Proportional to 1,105.52 and 1,696.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.52 : 1,696.89 = 1,696.89 : x
2. Step 2: Convert to fraction form
   1,105.52/1,696.89 = 1,696.89/x
3. Step 3: Cross multiply
   1,105.52x = 1,696.89 × 1,696.89
4. Step 4: Simplify right side
   1,105.52x = 2,879,424.54
5. Step 5: Solve for x
   x = 2,879,424.54/1,105.52
6. Step 6: Final answer
   x = 2,604.58