Finding the Third Proportional to 2,769.19 and 5,968.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,769.19 : 5,968.69 = 5,968.69 : x
2. Step 2: Convert to fraction form
   2,769.19/5,968.69 = 5,968.69/x
3. Step 3: Cross multiply
   2,769.19x = 5,968.69 × 5,968.69
4. Step 4: Simplify right side
   2,769.19x = 35,625,230.47
5. Step 5: Solve for x
   x = 35,625,230.47/2,769.19
6. Step 6: Final answer
   x = 12,864.87