Finding the Third Proportional to 10,096 and 19,296

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 19,296 = 19,296 : x
2. Step 2: Convert to fraction form
   10,096/19,296 = 19,296/x
3. Step 3: Cross multiply
   10,096x = 19,296 × 19,296
4. Step 4: Simplify right side
   10,096x = 372,335,616
5. Step 5: Solve for x
   x = 372,335,616/10,096
6. Step 6: Final answer
   x = 36,879.52