Finding the Third Proportional to 9,910 and 19,568

Step by Step Solution

1. Step 1: Write the proportion equation
   9,910 : 19,568 = 19,568 : x
2. Step 2: Convert to fraction form
   9,910/19,568 = 19,568/x
3. Step 3: Cross multiply
   9,910x = 19,568 × 19,568
4. Step 4: Simplify right side
   9,910x = 382,906,624
5. Step 5: Solve for x
   x = 382,906,624/9,910
6. Step 6: Final answer
   x = 38,638.41