Finding the Third Proportional to 3,162.80 and 3,460.85

Step by Step Solution

1. Step 1: Write the proportion equation
   3,162.80 : 3,460.85 = 3,460.85 : x
2. Step 2: Convert to fraction form
   3,162.80/3,460.85 = 3,460.85/x
3. Step 3: Cross multiply
   3,162.80x = 3,460.85 × 3,460.85
4. Step 4: Simplify right side
   3,162.80x = 11,977,493.54
5. Step 5: Solve for x
   x = 11,977,493.54/3,162.80
6. Step 6: Final answer
   x = 3,786.99