Finding the Third Proportional to 9,006 and 13,636

Step by Step Solution

1. Step 1: Write the proportion equation
   9,006 : 13,636 = 13,636 : x
2. Step 2: Convert to fraction form
   9,006/13,636 = 13,636/x
3. Step 3: Cross multiply
   9,006x = 13,636 × 13,636
4. Step 4: Simplify right side
   9,006x = 185,940,496
5. Step 5: Solve for x
   x = 185,940,496/9,006
6. Step 6: Final answer
   x = 20,646.29