Finding the Third Proportional to 3,200.25 and 3,510.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,200.25 : 3,510.75 = 3,510.75 : x
2. Step 2: Convert to fraction form
   3,200.25/3,510.75 = 3,510.75/x
3. Step 3: Cross multiply
   3,200.25x = 3,510.75 × 3,510.75
4. Step 4: Simplify right side
   3,200.25x = 12,325,365.56
5. Step 5: Solve for x
   x = 12,325,365.56/3,200.25
6. Step 6: Final answer
   x = 3,851.38