Finding the Third Proportional to 6,338 and 10,071

Step by Step Solution

1. Step 1: Write the proportion equation
   6,338 : 10,071 = 10,071 : x
2. Step 2: Convert to fraction form
   6,338/10,071 = 10,071/x
3. Step 3: Cross multiply
   6,338x = 10,071 × 10,071
4. Step 4: Simplify right side
   6,338x = 101,425,041
5. Step 5: Solve for x
   x = 101,425,041/6,338
6. Step 6: Final answer
   x = 16,002.69