Finding the Third Proportional to 2,150 and 2,374

Step by Step Solution

1. Step 1: Write the proportion equation
   2,150 : 2,374 = 2,374 : x
2. Step 2: Convert to fraction form
   2,150/2,374 = 2,374/x
3. Step 3: Cross multiply
   2,150x = 2,374 × 2,374
4. Step 4: Simplify right side
   2,150x = 5,635,876
5. Step 5: Solve for x
   x = 5,635,876/2,150
6. Step 6: Final answer
   x = 2,621.34