Finding the Third Proportional to 2,683.76 and 5,764.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,683.76 : 5,764.92 = 5,764.92 : x
2. Step 2: Convert to fraction form
   2,683.76/5,764.92 = 5,764.92/x
3. Step 3: Cross multiply
   2,683.76x = 5,764.92 × 5,764.92
4. Step 4: Simplify right side
   2,683.76x = 33,234,324.22
5. Step 5: Solve for x
   x = 33,234,324.22/2,683.76
6. Step 6: Final answer
   x = 12,383.50