Finding the Third Proportional to 2,150 and 2,456

Step by Step Solution

1. Step 1: Write the proportion equation
   2,150 : 2,456 = 2,456 : x
2. Step 2: Convert to fraction form
   2,150/2,456 = 2,456/x
3. Step 3: Cross multiply
   2,150x = 2,456 × 2,456
4. Step 4: Simplify right side
   2,150x = 6,031,936
5. Step 5: Solve for x
   x = 6,031,936/2,150
6. Step 6: Final answer
   x = 2,805.55