Finding the Third Proportional to 2,686.15 and 5,769.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686.15 : 5,769.07 = 5,769.07 : x
2. Step 2: Convert to fraction form
   2,686.15/5,769.07 = 5,769.07/x
3. Step 3: Cross multiply
   2,686.15x = 5,769.07 × 5,769.07
4. Step 4: Simplify right side
   2,686.15x = 33,282,172.27
5. Step 5: Solve for x
   x = 33,282,172.27/2,686.15
6. Step 6: Final answer
   x = 12,390.30