Finding the Third Proportional to 2,784 and 3,678

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784 : 3,678 = 3,678 : x
2. Step 2: Convert to fraction form
   2,784/3,678 = 3,678/x
3. Step 3: Cross multiply
   2,784x = 3,678 × 3,678
4. Step 4: Simplify right side
   2,784x = 13,527,684
5. Step 5: Solve for x
   x = 13,527,684/2,784
6. Step 6: Final answer
   x = 4,859.08