Finding the Third Proportional to 3,142.69 and 3,659.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,142.69 : 3,659.06 = 3,659.06 : x
2. Step 2: Convert to fraction form
   3,142.69/3,659.06 = 3,659.06/x
3. Step 3: Cross multiply
   3,142.69x = 3,659.06 × 3,659.06
4. Step 4: Simplify right side
   3,142.69x = 13,388,738.38
5. Step 5: Solve for x
   x = 13,388,738.38/3,142.69
6. Step 6: Final answer
   x = 4,260.28