Finding the Third Proportional to 824.50 and 1,676

Step by Step Solution

1. Step 1: Write the proportion equation
   824.50 : 1,676 = 1,676 : x
2. Step 2: Convert to fraction form
   824.50/1,676 = 1,676/x
3. Step 3: Cross multiply
   824.50x = 1,676 × 1,676
4. Step 4: Simplify right side
   824.50x = 2,808,976
5. Step 5: Solve for x
   x = 2,808,976/824.50
6. Step 6: Final answer
   x = 3,406.88