Finding the Third Proportional to 12,872 and 19,540

Step by Step Solution

1. Step 1: Write the proportion equation
   12,872 : 19,540 = 19,540 : x
2. Step 2: Convert to fraction form
   12,872/19,540 = 19,540/x
3. Step 3: Cross multiply
   12,872x = 19,540 × 19,540
4. Step 4: Simplify right side
   12,872x = 381,811,600
5. Step 5: Solve for x
   x = 381,811,600/12,872
6. Step 6: Final answer
   x = 29,662.18