Finding the Third Proportional to 2,544 and 3,790

Step by Step Solution

1. Step 1: Write the proportion equation
   2,544 : 3,790 = 3,790 : x
2. Step 2: Convert to fraction form
   2,544/3,790 = 3,790/x
3. Step 3: Cross multiply
   2,544x = 3,790 × 3,790
4. Step 4: Simplify right side
   2,544x = 14,364,100
5. Step 5: Solve for x
   x = 14,364,100/2,544
6. Step 6: Final answer
   x = 5,646.27