Finding the Third Proportional to 2,569.50 and 3,969.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.50 : 3,969.75 = 3,969.75 : x
2. Step 2: Convert to fraction form
   2,569.50/3,969.75 = 3,969.75/x
3. Step 3: Cross multiply
   2,569.50x = 3,969.75 × 3,969.75
4. Step 4: Simplify right side
   2,569.50x = 15,758,915.06
5. Step 5: Solve for x
   x = 15,758,915.06/2,569.50
6. Step 6: Final answer
   x = 6,133.07