Finding the Third Proportional to 9,648 and 21,071

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648 : 21,071 = 21,071 : x
2. Step 2: Convert to fraction form
   9,648/21,071 = 21,071/x
3. Step 3: Cross multiply
   9,648x = 21,071 × 21,071
4. Step 4: Simplify right side
   9,648x = 443,987,041
5. Step 5: Solve for x
   x = 443,987,041/9,648
6. Step 6: Final answer
   x = 46,018.56