Finding the Third Proportional to 3,096 and 7,314

Step by Step Solution

1. Step 1: Write the proportion equation
   3,096 : 7,314 = 7,314 : x
2. Step 2: Convert to fraction form
   3,096/7,314 = 7,314/x
3. Step 3: Cross multiply
   3,096x = 7,314 × 7,314
4. Step 4: Simplify right side
   3,096x = 53,494,596
5. Step 5: Solve for x
   x = 53,494,596/3,096
6. Step 6: Final answer
   x = 17,278.62