Finding the Third Proportional to 10,021 and 17,855

Step by Step Solution

1. Step 1: Write the proportion equation
   10,021 : 17,855 = 17,855 : x
2. Step 2: Convert to fraction form
   10,021/17,855 = 17,855/x
3. Step 3: Cross multiply
   10,021x = 17,855 × 17,855
4. Step 4: Simplify right side
   10,021x = 318,801,025
5. Step 5: Solve for x
   x = 318,801,025/10,021
6. Step 6: Final answer
   x = 31,813.29