Finding the Third Proportional to 5,013 and 10,638

Step by Step Solution

1. Step 1: Write the proportion equation
   5,013 : 10,638 = 10,638 : x
2. Step 2: Convert to fraction form
   5,013/10,638 = 10,638/x
3. Step 3: Cross multiply
   5,013x = 10,638 × 10,638
4. Step 4: Simplify right side
   5,013x = 113,167,044
5. Step 5: Solve for x
   x = 113,167,044/5,013
6. Step 6: Final answer
   x = 22,574.71