Finding the Third Proportional to 12,698 and 19,856

Step by Step Solution

1. Step 1: Write the proportion equation
   12,698 : 19,856 = 19,856 : x
2. Step 2: Convert to fraction form
   12,698/19,856 = 19,856/x
3. Step 3: Cross multiply
   12,698x = 19,856 × 19,856
4. Step 4: Simplify right side
   12,698x = 394,260,736
5. Step 5: Solve for x
   x = 394,260,736/12,698
6. Step 6: Final answer
   x = 31,049.04