Finding the Third Proportional to 1,683.50 and 3,656

Step by Step Solution

1. Step 1: Write the proportion equation
   1,683.50 : 3,656 = 3,656 : x
2. Step 2: Convert to fraction form
   1,683.50/3,656 = 3,656/x
3. Step 3: Cross multiply
   1,683.50x = 3,656 × 3,656
4. Step 4: Simplify right side
   1,683.50x = 13,366,336
5. Step 5: Solve for x
   x = 13,366,336/1,683.50
6. Step 6: Final answer
   x = 7,939.61