Finding the Third Proportional to 2,050.50 and 3,077.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,050.50 : 3,077.75 = 3,077.75 : x
2. Step 2: Convert to fraction form
   2,050.50/3,077.75 = 3,077.75/x
3. Step 3: Cross multiply
   2,050.50x = 3,077.75 × 3,077.75
4. Step 4: Simplify right side
   2,050.50x = 9,472,545.06
5. Step 5: Solve for x
   x = 9,472,545.06/2,050.50
6. Step 6: Final answer
   x = 4,619.63