Finding the Third Proportional to 2,683 and 4,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,683 : 4,145.50 = 4,145.50 : x
2. Step 2: Convert to fraction form
   2,683/4,145.50 = 4,145.50/x
3. Step 3: Cross multiply
   2,683x = 4,145.50 × 4,145.50
4. Step 4: Simplify right side
   2,683x = 17,185,170.25
5. Step 5: Solve for x
   x = 17,185,170.25/2,683
6. Step 6: Final answer
   x = 6,405.21