Finding the Third Proportional to 12,822 and 19,689

Step by Step Solution

1. Step 1: Write the proportion equation
   12,822 : 19,689 = 19,689 : x
2. Step 2: Convert to fraction form
   12,822/19,689 = 19,689/x
3. Step 3: Cross multiply
   12,822x = 19,689 × 19,689
4. Step 4: Simplify right side
   12,822x = 387,656,721
5. Step 5: Solve for x
   x = 387,656,721/12,822
6. Step 6: Final answer
   x = 30,233.72