Finding the Third Proportional to 796 and 1,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   796 : 1,683.50 = 1,683.50 : x
2. Step 2: Convert to fraction form
   796/1,683.50 = 1,683.50/x
3. Step 3: Cross multiply
   796x = 1,683.50 × 1,683.50
4. Step 4: Simplify right side
   796x = 2,834,172.25
5. Step 5: Solve for x
   x = 2,834,172.25/796
6. Step 6: Final answer
   x = 3,560.52