Finding the Third Proportional to 9,726 and 20,144

Step by Step Solution

1. Step 1: Write the proportion equation
   9,726 : 20,144 = 20,144 : x
2. Step 2: Convert to fraction form
   9,726/20,144 = 20,144/x
3. Step 3: Cross multiply
   9,726x = 20,144 × 20,144
4. Step 4: Simplify right side
   9,726x = 405,780,736
5. Step 5: Solve for x
   x = 405,780,736/9,726
6. Step 6: Final answer
   x = 41,721.24