Finding the Third Proportional to 3,840 and 7,096

Step by Step Solution

1. Step 1: Write the proportion equation
   3,840 : 7,096 = 7,096 : x
2. Step 2: Convert to fraction form
   3,840/7,096 = 7,096/x
3. Step 3: Cross multiply
   3,840x = 7,096 × 7,096
4. Step 4: Simplify right side
   3,840x = 50,353,216
5. Step 5: Solve for x
   x = 50,353,216/3,840
6. Step 6: Final answer
   x = 13,112.82