Finding the Third Proportional to 2,596.69 and 3,922.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.69 : 3,922.03 = 3,922.03 : x
2. Step 2: Convert to fraction form
   2,596.69/3,922.03 = 3,922.03/x
3. Step 3: Cross multiply
   2,596.69x = 3,922.03 × 3,922.03
4. Step 4: Simplify right side
   2,596.69x = 15,382,329.13
5. Step 5: Solve for x
   x = 15,382,329.13/2,596.69
6. Step 6: Final answer
   x = 5,923.83