Finding the Third Proportional to 2,240 and 3,596.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,240 : 3,596.25 = 3,596.25 : x
2. Step 2: Convert to fraction form
   2,240/3,596.25 = 3,596.25/x
3. Step 3: Cross multiply
   2,240x = 3,596.25 × 3,596.25
4. Step 4: Simplify right side
   2,240x = 12,933,014.06
5. Step 5: Solve for x
   x = 12,933,014.06/2,240
6. Step 6: Final answer
   x = 5,773.67