Finding the Third Proportional to 9,006 and 19,626

Step by Step Solution

1. Step 1: Write the proportion equation
   9,006 : 19,626 = 19,626 : x
2. Step 2: Convert to fraction form
   9,006/19,626 = 19,626/x
3. Step 3: Cross multiply
   9,006x = 19,626 × 19,626
4. Step 4: Simplify right side
   9,006x = 385,179,876
5. Step 5: Solve for x
   x = 385,179,876/9,006
6. Step 6: Final answer
   x = 42,769.25