Finding the Third Proportional to 9,664 and 20,367

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664 : 20,367 = 20,367 : x
2. Step 2: Convert to fraction form
   9,664/20,367 = 20,367/x
3. Step 3: Cross multiply
   9,664x = 20,367 × 20,367
4. Step 4: Simplify right side
   9,664x = 414,814,689
5. Step 5: Solve for x
   x = 414,814,689/9,664
6. Step 6: Final answer
   x = 42,923.71