Finding the Third Proportional to 10,218 and 21,852

Step by Step Solution

1. Step 1: Write the proportion equation
   10,218 : 21,852 = 21,852 : x
2. Step 2: Convert to fraction form
   10,218/21,852 = 21,852/x
3. Step 3: Cross multiply
   10,218x = 21,852 × 21,852
4. Step 4: Simplify right side
   10,218x = 477,509,904
5. Step 5: Solve for x
   x = 477,509,904/10,218
6. Step 6: Final answer
   x = 46,732.23