Finding the Third Proportional to 674.89 and 1,383.96

Step by Step Solution

1. Step 1: Write the proportion equation
   674.89 : 1,383.96 = 1,383.96 : x
2. Step 2: Convert to fraction form
   674.89/1,383.96 = 1,383.96/x
3. Step 3: Cross multiply
   674.89x = 1,383.96 × 1,383.96
4. Step 4: Simplify right side
   674.89x = 1,915,347.88
5. Step 5: Solve for x
   x = 1,915,347.88/674.89
6. Step 6: Final answer
   x = 2,838.00