Finding the Third Proportional to 2,160 and 2,382

Step by Step Solution

1. Step 1: Write the proportion equation
   2,160 : 2,382 = 2,382 : x
2. Step 2: Convert to fraction form
   2,160/2,382 = 2,382/x
3. Step 3: Cross multiply
   2,160x = 2,382 × 2,382
4. Step 4: Simplify right side
   2,160x = 5,673,924
5. Step 5: Solve for x
   x = 5,673,924/2,160
6. Step 6: Final answer
   x = 2,626.82