Finding the Third Proportional to 2,793.14 and 5,779.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,793.14 : 5,779.59 = 5,779.59 : x
2. Step 2: Convert to fraction form
   2,793.14/5,779.59 = 5,779.59/x
3. Step 3: Cross multiply
   2,793.14x = 5,779.59 × 5,779.59
4. Step 4: Simplify right side
   2,793.14x = 33,403,703.92
5. Step 5: Solve for x
   x = 33,403,703.92/2,793.14
6. Step 6: Final answer
   x = 11,959.19