Finding the Third Proportional to 800.50 and 1,696

Step by Step Solution

1. Step 1: Write the proportion equation
   800.50 : 1,696 = 1,696 : x
2. Step 2: Convert to fraction form
   800.50/1,696 = 1,696/x
3. Step 3: Cross multiply
   800.50x = 1,696 × 1,696
4. Step 4: Simplify right side
   800.50x = 2,876,416
5. Step 5: Solve for x
   x = 2,876,416/800.50
6. Step 6: Final answer
   x = 3,593.27