Finding the Third Proportional to 3,081.80 and 4,126.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,081.80 : 4,126.57 = 4,126.57 : x
2. Step 2: Convert to fraction form
   3,081.80/4,126.57 = 4,126.57/x
3. Step 3: Cross multiply
   3,081.80x = 4,126.57 × 4,126.57
4. Step 4: Simplify right side
   3,081.80x = 17,028,582.54
5. Step 5: Solve for x
   x = 17,028,582.54/3,081.80
6. Step 6: Final answer
   x = 5,525.54