Finding the Third Proportional to 2,609.25 and 3,917.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.25 : 3,917.25 = 3,917.25 : x
2. Step 2: Convert to fraction form
   2,609.25/3,917.25 = 3,917.25/x
3. Step 3: Cross multiply
   2,609.25x = 3,917.25 × 3,917.25
4. Step 4: Simplify right side
   2,609.25x = 15,344,847.56
5. Step 5: Solve for x
   x = 15,344,847.56/2,609.25
6. Step 6: Final answer
   x = 5,880.94