Finding the Third Proportional to 3,196.13 and 5,769.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,196.13 : 5,769.56 = 5,769.56 : x
2. Step 2: Convert to fraction form
   3,196.13/5,769.56 = 5,769.56/x
3. Step 3: Cross multiply
   3,196.13x = 5,769.56 × 5,769.56
4. Step 4: Simplify right side
   3,196.13x = 33,287,851.44
5. Step 5: Solve for x
   x = 33,287,851.44/3,196.13
6. Step 6: Final answer
   x = 10,415.07