Finding the Third Proportional to 12,823 and 19,684

Step by Step Solution

1. Step 1: Write the proportion equation
   12,823 : 19,684 = 19,684 : x
2. Step 2: Convert to fraction form
   12,823/19,684 = 19,684/x
3. Step 3: Cross multiply
   12,823x = 19,684 × 19,684
4. Step 4: Simplify right side
   12,823x = 387,459,856
5. Step 5: Solve for x
   x = 387,459,856/12,823
6. Step 6: Final answer
   x = 30,216.01