Finding the Third Proportional to 9,664 and 19,900

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664 : 19,900 = 19,900 : x
2. Step 2: Convert to fraction form
   9,664/19,900 = 19,900/x
3. Step 3: Cross multiply
   9,664x = 19,900 × 19,900
4. Step 4: Simplify right side
   9,664x = 396,010,000
5. Step 5: Solve for x
   x = 396,010,000/9,664
6. Step 6: Final answer
   x = 40,977.86