Finding the Third Proportional to 2,149.88 and 3,659.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,149.88 : 3,659.06 = 3,659.06 : x
2. Step 2: Convert to fraction form
   2,149.88/3,659.06 = 3,659.06/x
3. Step 3: Cross multiply
   2,149.88x = 3,659.06 × 3,659.06
4. Step 4: Simplify right side
   2,149.88x = 13,388,738.38
5. Step 5: Solve for x
   x = 13,388,738.38/2,149.88
6. Step 6: Final answer
   x = 6,227.68