Finding the Third Proportional to 2,150 and 2,976

Step by Step Solution

1. Step 1: Write the proportion equation
   2,150 : 2,976 = 2,976 : x
2. Step 2: Convert to fraction form
   2,150/2,976 = 2,976/x
3. Step 3: Cross multiply
   2,150x = 2,976 × 2,976
4. Step 4: Simplify right side
   2,150x = 8,856,576
5. Step 5: Solve for x
   x = 8,856,576/2,150
6. Step 6: Final answer
   x = 4,119.34