Finding the Third Proportional to 9,648 and 21,144

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648 : 21,144 = 21,144 : x
2. Step 2: Convert to fraction form
   9,648/21,144 = 21,144/x
3. Step 3: Cross multiply
   9,648x = 21,144 × 21,144
4. Step 4: Simplify right side
   9,648x = 447,068,736
5. Step 5: Solve for x
   x = 447,068,736/9,648
6. Step 6: Final answer
   x = 46,337.97