Finding the Third Proportional to 2,677.75 and 5,766.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,677.75 : 5,766.69 = 5,766.69 : x
2. Step 2: Convert to fraction form
   2,677.75/5,766.69 = 5,766.69/x
3. Step 3: Cross multiply
   2,677.75x = 5,766.69 × 5,766.69
4. Step 4: Simplify right side
   2,677.75x = 33,254,684.72
5. Step 5: Solve for x
   x = 33,254,684.72/2,677.75
6. Step 6: Final answer
   x = 12,418.89