Finding the Third Proportional to 10,096 and 14,852

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 14,852 = 14,852 : x
2. Step 2: Convert to fraction form
   10,096/14,852 = 14,852/x
3. Step 3: Cross multiply
   10,096x = 14,852 × 14,852
4. Step 4: Simplify right side
   10,096x = 220,581,904
5. Step 5: Solve for x
   x = 220,581,904/10,096
6. Step 6: Final answer
   x = 21,848.45