Finding the Third Proportional to 9,648 and 21,072

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648 : 21,072 = 21,072 : x
2. Step 2: Convert to fraction form
   9,648/21,072 = 21,072/x
3. Step 3: Cross multiply
   9,648x = 21,072 × 21,072
4. Step 4: Simplify right side
   9,648x = 444,029,184
5. Step 5: Solve for x
   x = 444,029,184/9,648
6. Step 6: Final answer
   x = 46,022.93