Finding the Third Proportional to 2,683.13 and 5,862.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,683.13 : 5,862.38 = 5,862.38 : x
2. Step 2: Convert to fraction form
   2,683.13/5,862.38 = 5,862.38/x
3. Step 3: Cross multiply
   2,683.13x = 5,862.38 × 5,862.38
4. Step 4: Simplify right side
   2,683.13x = 34,367,440.64
5. Step 5: Solve for x
   x = 34,367,440.64/2,683.13
6. Step 6: Final answer
   x = 12,808.74