Finding the Third Proportional to 2,767.92 and 5,945.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,767.92 : 5,945.91 = 5,945.91 : x
2. Step 2: Convert to fraction form
   2,767.92/5,945.91 = 5,945.91/x
3. Step 3: Cross multiply
   2,767.92x = 5,945.91 × 5,945.91
4. Step 4: Simplify right side
   2,767.92x = 35,353,801.13
5. Step 5: Solve for x
   x = 35,353,801.13/2,767.92
6. Step 6: Final answer
   x = 12,772.69