Finding the Third Proportional to 949.69 and 2,077.37

Step by Step Solution

1. Step 1: Write the proportion equation
   949.69 : 2,077.37 = 2,077.37 : x
2. Step 2: Convert to fraction form
   949.69/2,077.37 = 2,077.37/x
3. Step 3: Cross multiply
   949.69x = 2,077.37 × 2,077.37
4. Step 4: Simplify right side
   949.69x = 4,315,446.32
5. Step 5: Solve for x
   x = 4,315,446.32/949.69
6. Step 6: Final answer
   x = 4,544.04