Finding the Third Proportional to 2,203.50 and 3,410.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,203.50 : 3,410.25 = 3,410.25 : x
2. Step 2: Convert to fraction form
   2,203.50/3,410.25 = 3,410.25/x
3. Step 3: Cross multiply
   2,203.50x = 3,410.25 × 3,410.25
4. Step 4: Simplify right side
   2,203.50x = 11,629,805.06
5. Step 5: Solve for x
   x = 11,629,805.06/2,203.50
6. Step 6: Final answer
   x = 5,277.88