Finding the Third Proportional to 2,783 and 5,674

Step by Step Solution

1. Step 1: Write the proportion equation
   2,783 : 5,674 = 5,674 : x
2. Step 2: Convert to fraction form
   2,783/5,674 = 5,674/x
3. Step 3: Cross multiply
   2,783x = 5,674 × 5,674
4. Step 4: Simplify right side
   2,783x = 32,194,276
5. Step 5: Solve for x
   x = 32,194,276/2,783
6. Step 6: Final answer
   x = 11,568.19