Finding the Third Proportional to 3,380 and 5,096

Step by Step Solution

1. Step 1: Write the proportion equation
   3,380 : 5,096 = 5,096 : x
2. Step 2: Convert to fraction form
   3,380/5,096 = 5,096/x
3. Step 3: Cross multiply
   3,380x = 5,096 × 5,096
4. Step 4: Simplify right side
   3,380x = 25,969,216
5. Step 5: Solve for x
   x = 25,969,216/3,380
6. Step 6: Final answer
   x = 7,683.20