Finding the Third Proportional to 2,209.50 and 3,097.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,209.50 : 3,097.25 = 3,097.25 : x
2. Step 2: Convert to fraction form
   2,209.50/3,097.25 = 3,097.25/x
3. Step 3: Cross multiply
   2,209.50x = 3,097.25 × 3,097.25
4. Step 4: Simplify right side
   2,209.50x = 9,592,957.56
5. Step 5: Solve for x
   x = 9,592,957.56/2,209.50
6. Step 6: Final answer
   x = 4,341.69