Finding the Third Proportional to 2,124 and 2,310

Step by Step Solution

1. Step 1: Write the proportion equation
   2,124 : 2,310 = 2,310 : x
2. Step 2: Convert to fraction form
   2,124/2,310 = 2,310/x
3. Step 3: Cross multiply
   2,124x = 2,310 × 2,310
4. Step 4: Simplify right side
   2,124x = 5,336,100
5. Step 5: Solve for x
   x = 5,336,100/2,124
6. Step 6: Final answer
   x = 2,512.29