Finding the Third Proportional to 2,784 and 5,928

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784 : 5,928 = 5,928 : x
2. Step 2: Convert to fraction form
   2,784/5,928 = 5,928/x
3. Step 3: Cross multiply
   2,784x = 5,928 × 5,928
4. Step 4: Simplify right side
   2,784x = 35,141,184
5. Step 5: Solve for x
   x = 35,141,184/2,784
6. Step 6: Final answer
   x = 12,622.55