Finding the Third Proportional to 3,223.55 and 5,809.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,223.55 : 5,809.22 = 5,809.22 : x
2. Step 2: Convert to fraction form
   3,223.55/5,809.22 = 5,809.22/x
3. Step 3: Cross multiply
   3,223.55x = 5,809.22 × 5,809.22
4. Step 4: Simplify right side
   3,223.55x = 33,747,022.49
5. Step 5: Solve for x
   x = 33,747,022.49/3,223.55
6. Step 6: Final answer
   x = 10,468.91