Finding the Third Proportional to 4,105.69 and 5,644.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,105.69 : 5,644.69 = 5,644.69 : x
2. Step 2: Convert to fraction form
   4,105.69/5,644.69 = 5,644.69/x
3. Step 3: Cross multiply
   4,105.69x = 5,644.69 × 5,644.69
4. Step 4: Simplify right side
   4,105.69x = 31,862,496.97
5. Step 5: Solve for x
   x = 31,862,496.97/4,105.69
6. Step 6: Final answer
   x = 7,760.58