Finding the Third Proportional to 2,784 and 5,406

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784 : 5,406 = 5,406 : x
2. Step 2: Convert to fraction form
   2,784/5,406 = 5,406/x
3. Step 3: Cross multiply
   2,784x = 5,406 × 5,406
4. Step 4: Simplify right side
   2,784x = 29,224,836
5. Step 5: Solve for x
   x = 29,224,836/2,784
6. Step 6: Final answer
   x = 10,497.43