Finding the Third Proportional to 2,049.75 and 3,155.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.75 : 3,155.06 = 3,155.06 : x
2. Step 2: Convert to fraction form
   2,049.75/3,155.06 = 3,155.06/x
3. Step 3: Cross multiply
   2,049.75x = 3,155.06 × 3,155.06
4. Step 4: Simplify right side
   2,049.75x = 9,954,419.38
5. Step 5: Solve for x
   x = 9,954,419.38/2,049.75
6. Step 6: Final answer
   x = 4,856.41