Finding the Third Proportional to 10,040 and 19,540

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040 : 19,540 = 19,540 : x
2. Step 2: Convert to fraction form
   10,040/19,540 = 19,540/x
3. Step 3: Cross multiply
   10,040x = 19,540 × 19,540
4. Step 4: Simplify right side
   10,040x = 381,811,600
5. Step 5: Solve for x
   x = 381,811,600/10,040
6. Step 6: Final answer
   x = 38,029.04