Finding the Third Proportional to 2,854.69 and 5,787.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,854.69 : 5,787.84 = 5,787.84 : x
2. Step 2: Convert to fraction form
   2,854.69/5,787.84 = 5,787.84/x
3. Step 3: Cross multiply
   2,854.69x = 5,787.84 × 5,787.84
4. Step 4: Simplify right side
   2,854.69x = 33,499,135.27
5. Step 5: Solve for x
   x = 33,499,135.27/2,854.69
6. Step 6: Final answer
   x = 11,734.78