Finding the Third Proportional to 12,682 and 19,714

Step by Step Solution

1. Step 1: Write the proportion equation
   12,682 : 19,714 = 19,714 : x
2. Step 2: Convert to fraction form
   12,682/19,714 = 19,714/x
3. Step 3: Cross multiply
   12,682x = 19,714 × 19,714
4. Step 4: Simplify right side
   12,682x = 388,641,796
5. Step 5: Solve for x
   x = 388,641,796/12,682
6. Step 6: Final answer
   x = 30,645.15