Finding the Third Proportional to 10,707 and 20,322

Step by Step Solution

1. Step 1: Write the proportion equation
   10,707 : 20,322 = 20,322 : x
2. Step 2: Convert to fraction form
   10,707/20,322 = 20,322/x
3. Step 3: Cross multiply
   10,707x = 20,322 × 20,322
4. Step 4: Simplify right side
   10,707x = 412,983,684
5. Step 5: Solve for x
   x = 412,983,684/10,707
6. Step 6: Final answer
   x = 38,571.37