Finding the Third Proportional to 9,638 and 12,765

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638 : 12,765 = 12,765 : x
2. Step 2: Convert to fraction form
   9,638/12,765 = 12,765/x
3. Step 3: Cross multiply
   9,638x = 12,765 × 12,765
4. Step 4: Simplify right side
   9,638x = 162,945,225
5. Step 5: Solve for x
   x = 162,945,225/9,638
6. Step 6: Final answer
   x = 16,906.54