Finding the Third Proportional to 9,824 and 16,392

Step by Step Solution

1. Step 1: Write the proportion equation
   9,824 : 16,392 = 16,392 : x
2. Step 2: Convert to fraction form
   9,824/16,392 = 16,392/x
3. Step 3: Cross multiply
   9,824x = 16,392 × 16,392
4. Step 4: Simplify right side
   9,824x = 268,697,664
5. Step 5: Solve for x
   x = 268,697,664/9,824
6. Step 6: Final answer
   x = 27,351.15