Finding the Third Proportional to 9,832 and 21,852

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832 : 21,852 = 21,852 : x
2. Step 2: Convert to fraction form
   9,832/21,852 = 21,852/x
3. Step 3: Cross multiply
   9,832x = 21,852 × 21,852
4. Step 4: Simplify right side
   9,832x = 477,509,904
5. Step 5: Solve for x
   x = 477,509,904/9,832
6. Step 6: Final answer
   x = 48,566.91