Finding the Third Proportional to 7,638 and 10,605

Step by Step Solution

1. Step 1: Write the proportion equation
   7,638 : 10,605 = 10,605 : x
2. Step 2: Convert to fraction form
   7,638/10,605 = 10,605/x
3. Step 3: Cross multiply
   7,638x = 10,605 × 10,605
4. Step 4: Simplify right side
   7,638x = 112,466,025
5. Step 5: Solve for x
   x = 112,466,025/7,638
6. Step 6: Final answer
   x = 14,724.54