Finding the Third Proportional to 3,105 and 3,196.13

Step by Step Solution

1. Step 1: Write the proportion equation
   3,105 : 3,196.13 = 3,196.13 : x
2. Step 2: Convert to fraction form
   3,105/3,196.13 = 3,196.13/x
3. Step 3: Cross multiply
   3,105x = 3,196.13 × 3,196.13
4. Step 4: Simplify right side
   3,105x = 10,215,215.02
5. Step 5: Solve for x
   x = 10,215,215.02/3,105
6. Step 6: Final answer
   x = 3,289.92