Finding the Third Proportional to 2,552.77 and 3,853.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.77 : 3,853.83 = 3,853.83 : x
2. Step 2: Convert to fraction form
   2,552.77/3,853.83 = 3,853.83/x
3. Step 3: Cross multiply
   2,552.77x = 3,853.83 × 3,853.83
4. Step 4: Simplify right side
   2,552.77x = 14,851,991.22
5. Step 5: Solve for x
   x = 14,851,991.22/2,552.77
6. Step 6: Final answer
   x = 5,818.00