Finding the Third Proportional to 9,744 and 20,322

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744 : 20,322 = 20,322 : x
2. Step 2: Convert to fraction form
   9,744/20,322 = 20,322/x
3. Step 3: Cross multiply
   9,744x = 20,322 × 20,322
4. Step 4: Simplify right side
   9,744x = 412,983,684
5. Step 5: Solve for x
   x = 412,983,684/9,744
6. Step 6: Final answer
   x = 42,383.38