Finding the Third Proportional to 2,484 and 5,382

Step by Step Solution

1. Step 1: Write the proportion equation
   2,484 : 5,382 = 5,382 : x
2. Step 2: Convert to fraction form
   2,484/5,382 = 5,382/x
3. Step 3: Cross multiply
   2,484x = 5,382 × 5,382
4. Step 4: Simplify right side
   2,484x = 28,965,924
5. Step 5: Solve for x
   x = 28,965,924/2,484
6. Step 6: Final answer
   x = 11,661