Finding the Third Proportional to 2,569.75 and 3,923.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.75 : 3,923.25 = 3,923.25 : x
2. Step 2: Convert to fraction form
   2,569.75/3,923.25 = 3,923.25/x
3. Step 3: Cross multiply
   2,569.75x = 3,923.25 × 3,923.25
4. Step 4: Simplify right side
   2,569.75x = 15,391,890.56
5. Step 5: Solve for x
   x = 15,391,890.56/2,569.75
6. Step 6: Final answer
   x = 5,989.65