Finding the Third Proportional to 1,309.92 and 2,779.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309.92 : 2,779.31 = 2,779.31 : x
2. Step 2: Convert to fraction form
   1,309.92/2,779.31 = 2,779.31/x
3. Step 3: Cross multiply
   1,309.92x = 2,779.31 × 2,779.31
4. Step 4: Simplify right side
   1,309.92x = 7,724,577.97
5. Step 5: Solve for x
   x = 7,724,577.97/1,309.92
6. Step 6: Final answer
   x = 5,896.98