Finding the Third Proportional to 2,779.31 and 6,105.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,779.31 : 6,105.38 = 6,105.38 : x
2. Step 2: Convert to fraction form
   2,779.31/6,105.38 = 6,105.38/x
3. Step 3: Cross multiply
   2,779.31x = 6,105.38 × 6,105.38
4. Step 4: Simplify right side
   2,779.31x = 37,275,603.89
5. Step 5: Solve for x
   x = 37,275,603.89/2,779.31
6. Step 6: Final answer
   x = 13,411.81