Finding the Third Proportional to 3,003.75 and 3,260.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,003.75 : 3,260.25 = 3,260.25 : x
2. Step 2: Convert to fraction form
   3,003.75/3,260.25 = 3,260.25/x
3. Step 3: Cross multiply
   3,003.75x = 3,260.25 × 3,260.25
4. Step 4: Simplify right side
   3,003.75x = 10,629,230.06
5. Step 5: Solve for x
   x = 10,629,230.06/3,003.75
6. Step 6: Final answer
   x = 3,538.65