Finding the Third Proportional to 9,002 and 19,540

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002 : 19,540 = 19,540 : x
2. Step 2: Convert to fraction form
   9,002/19,540 = 19,540/x
3. Step 3: Cross multiply
   9,002x = 19,540 × 19,540
4. Step 4: Simplify right side
   9,002x = 381,811,600
5. Step 5: Solve for x
   x = 381,811,600/9,002
6. Step 6: Final answer
   x = 42,414.09