Finding the Third Proportional to 9,002 and 19,643

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002 : 19,643 = 19,643 : x
2. Step 2: Convert to fraction form
   9,002/19,643 = 19,643/x
3. Step 3: Cross multiply
   9,002x = 19,643 × 19,643
4. Step 4: Simplify right side
   9,002x = 385,847,449
5. Step 5: Solve for x
   x = 385,847,449/9,002
6. Step 6: Final answer
   x = 42,862.41