Finding the Third Proportional to 7,800 and 18,096

Step by Step Solution

1. Step 1: Write the proportion equation
   7,800 : 18,096 = 18,096 : x
2. Step 2: Convert to fraction form
   7,800/18,096 = 18,096/x
3. Step 3: Cross multiply
   7,800x = 18,096 × 18,096
4. Step 4: Simplify right side
   7,800x = 327,465,216
5. Step 5: Solve for x
   x = 327,465,216/7,800
6. Step 6: Final answer
   x = 41,982.72