Finding the Third Proportional to 10,096 and 19,664

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 19,664 = 19,664 : x
2. Step 2: Convert to fraction form
   10,096/19,664 = 19,664/x
3. Step 3: Cross multiply
   10,096x = 19,664 × 19,664
4. Step 4: Simplify right side
   10,096x = 386,672,896
5. Step 5: Solve for x
   x = 386,672,896/10,096
6. Step 6: Final answer
   x = 38,299.61