Finding the Third Proportional to 2,767.92 and 5,769.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,767.92 : 5,769.35 = 5,769.35 : x
2. Step 2: Convert to fraction form
   2,767.92/5,769.35 = 5,769.35/x
3. Step 3: Cross multiply
   2,767.92x = 5,769.35 × 5,769.35
4. Step 4: Simplify right side
   2,767.92x = 33,285,417.45
5. Step 5: Solve for x
   x = 33,285,417.45/2,767.92
6. Step 6: Final answer
   x = 12,025.42