Finding the Third Proportional to 2,976 and 7,116

Step by Step Solution

1. Step 1: Write the proportion equation
   2,976 : 7,116 = 7,116 : x
2. Step 2: Convert to fraction form
   2,976/7,116 = 7,116/x
3. Step 3: Cross multiply
   2,976x = 7,116 × 7,116
4. Step 4: Simplify right side
   2,976x = 50,637,456
5. Step 5: Solve for x
   x = 50,637,456/2,976
6. Step 6: Final answer
   x = 17,015.27