Finding the Third Proportional to 2,789.23 and 5,809.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,789.23 : 5,809.64 = 5,809.64 : x
2. Step 2: Convert to fraction form
   2,789.23/5,809.64 = 5,809.64/x
3. Step 3: Cross multiply
   2,789.23x = 5,809.64 × 5,809.64
4. Step 4: Simplify right side
   2,789.23x = 33,751,924.19
5. Step 5: Solve for x
   x = 33,751,924.19/2,789.23
6. Step 6: Final answer
   x = 12,100.82