Finding the Third Proportional to 2,577.94 and 4,150.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.94 : 4,150.69 = 4,150.69 : x
2. Step 2: Convert to fraction form
   2,577.94/4,150.69 = 4,150.69/x
3. Step 3: Cross multiply
   2,577.94x = 4,150.69 × 4,150.69
4. Step 4: Simplify right side
   2,577.94x = 17,228,206.72
5. Step 5: Solve for x
   x = 17,228,206.72/2,577.94
6. Step 6: Final answer
   x = 6,682.94