Finding the Third Proportional to 13,858 and 21,016

Step by Step Solution

1. Step 1: Write the proportion equation
   13,858 : 21,016 = 21,016 : x
2. Step 2: Convert to fraction form
   13,858/21,016 = 21,016/x
3. Step 3: Cross multiply
   13,858x = 21,016 × 21,016
4. Step 4: Simplify right side
   13,858x = 441,672,256
5. Step 5: Solve for x
   x = 441,672,256/13,858
6. Step 6: Final answer
   x = 31,871.28