Finding the Third Proportional to 10,320 and 18,496

Step by Step Solution

1. Step 1: Write the proportion equation
   10,320 : 18,496 = 18,496 : x
2. Step 2: Convert to fraction form
   10,320/18,496 = 18,496/x
3. Step 3: Cross multiply
   10,320x = 18,496 × 18,496
4. Step 4: Simplify right side
   10,320x = 342,102,016
5. Step 5: Solve for x
   x = 342,102,016/10,320
6. Step 6: Final answer
   x = 33,149.42