Finding the Third Proportional to 2,223.70 and 4,584.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,223.70 : 4,584.09 = 4,584.09 : x
2. Step 2: Convert to fraction form
   2,223.70/4,584.09 = 4,584.09/x
3. Step 3: Cross multiply
   2,223.70x = 4,584.09 × 4,584.09
4. Step 4: Simplify right side
   2,223.70x = 21,013,915.51
5. Step 5: Solve for x
   x = 21,013,915.51/2,223.70
6. Step 6: Final answer
   x = 9,449.96