Finding the Third Proportional to 1,949.06 and 4,077.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,949.06 : 4,077.56 = 4,077.56 : x
2. Step 2: Convert to fraction form
   1,949.06/4,077.56 = 4,077.56/x
3. Step 3: Cross multiply
   1,949.06x = 4,077.56 × 4,077.56
4. Step 4: Simplify right side
   1,949.06x = 16,626,515.94
5. Step 5: Solve for x
   x = 16,626,515.94/1,949.06
6. Step 6: Final answer
   x = 8,530.52