Finding the Third Proportional to 2,771.72 and 4,145.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,771.72 : 4,145.77 = 4,145.77 : x
2. Step 2: Convert to fraction form
   2,771.72/4,145.77 = 4,145.77/x
3. Step 3: Cross multiply
   2,771.72x = 4,145.77 × 4,145.77
4. Step 4: Simplify right side
   2,771.72x = 17,187,372.62
5. Step 5: Solve for x
   x = 17,187,372.62/2,771.72
6. Step 6: Final answer
   x = 6,200.98