Finding the Third Proportional to 10,024 and 17,852

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024 : 17,852 = 17,852 : x
2. Step 2: Convert to fraction form
   10,024/17,852 = 17,852/x
3. Step 3: Cross multiply
   10,024x = 17,852 × 17,852
4. Step 4: Simplify right side
   10,024x = 318,693,904
5. Step 5: Solve for x
   x = 318,693,904/10,024
6. Step 6: Final answer
   x = 31,793.09