Finding the Third Proportional to 8,322 and 12,884

Step by Step Solution

1. Step 1: Write the proportion equation
   8,322 : 12,884 = 12,884 : x
2. Step 2: Convert to fraction form
   8,322/12,884 = 12,884/x
3. Step 3: Cross multiply
   8,322x = 12,884 × 12,884
4. Step 4: Simplify right side
   8,322x = 165,997,456
5. Step 5: Solve for x
   x = 165,997,456/8,322
6. Step 6: Final answer
   x = 19,946.82