Finding the Third Proportional to 2,057.91 and 3,196.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.91 : 3,196.97 = 3,196.97 : x
2. Step 2: Convert to fraction form
   2,057.91/3,196.97 = 3,196.97/x
3. Step 3: Cross multiply
   2,057.91x = 3,196.97 × 3,196.97
4. Step 4: Simplify right side
   2,057.91x = 10,220,609.19
5. Step 5: Solve for x
   x = 10,220,609.19/2,057.91
6. Step 6: Final answer
   x = 4,966.51