Finding the Third Proportional to 2,489.06 and 5,185.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,489.06 : 5,185.69 = 5,185.69 : x
2. Step 2: Convert to fraction form
   2,489.06/5,185.69 = 5,185.69/x
3. Step 3: Cross multiply
   2,489.06x = 5,185.69 × 5,185.69
4. Step 4: Simplify right side
   2,489.06x = 26,891,354.85
5. Step 5: Solve for x
   x = 26,891,354.85/2,489.06
6. Step 6: Final answer
   x = 10,803.81