Finding the Third Proportional to 9,002 and 19,636

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002 : 19,636 = 19,636 : x
2. Step 2: Convert to fraction form
   9,002/19,636 = 19,636/x
3. Step 3: Cross multiply
   9,002x = 19,636 × 19,636
4. Step 4: Simplify right side
   9,002x = 385,572,496
5. Step 5: Solve for x
   x = 385,572,496/9,002
6. Step 6: Final answer
   x = 42,831.87