Finding the Third Proportional to 2,544 and 5,416

Step by Step Solution

1. Step 1: Write the proportion equation
   2,544 : 5,416 = 5,416 : x
2. Step 2: Convert to fraction form
   2,544/5,416 = 5,416/x
3. Step 3: Cross multiply
   2,544x = 5,416 × 5,416
4. Step 4: Simplify right side
   2,544x = 29,333,056
5. Step 5: Solve for x
   x = 29,333,056/2,544
6. Step 6: Final answer
   x = 11,530.29