Finding the Third Proportional to 12,321 and 19,647

Step by Step Solution

1. Step 1: Write the proportion equation
   12,321 : 19,647 = 19,647 : x
2. Step 2: Convert to fraction form
   12,321/19,647 = 19,647/x
3. Step 3: Cross multiply
   12,321x = 19,647 × 19,647
4. Step 4: Simplify right side
   12,321x = 386,004,609
5. Step 5: Solve for x
   x = 386,004,609/12,321
6. Step 6: Final answer
   x = 31,329