Finding the Third Proportional to 2,766.66 and 5,845.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,766.66 : 5,845.92 = 5,845.92 : x
2. Step 2: Convert to fraction form
   2,766.66/5,845.92 = 5,845.92/x
3. Step 3: Cross multiply
   2,766.66x = 5,845.92 × 5,845.92
4. Step 4: Simplify right side
   2,766.66x = 34,174,802.57
5. Step 5: Solve for x
   x = 34,174,802.57/2,766.66
6. Step 6: Final answer
   x = 12,352.38