Finding the Third Proportional to 2,143.50 and 4,638

Step by Step Solution

1. Step 1: Write the proportion equation
   2,143.50 : 4,638 = 4,638 : x
2. Step 2: Convert to fraction form
   2,143.50/4,638 = 4,638/x
3. Step 3: Cross multiply
   2,143.50x = 4,638 × 4,638
4. Step 4: Simplify right side
   2,143.50x = 21,511,044
5. Step 5: Solve for x
   x = 21,511,044/2,143.50
6. Step 6: Final answer
   x = 10,035.48