Finding the Third Proportional to 2,014.69 and 2,837.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,014.69 : 2,837.25 = 2,837.25 : x
2. Step 2: Convert to fraction form
   2,014.69/2,837.25 = 2,837.25/x
3. Step 3: Cross multiply
   2,014.69x = 2,837.25 × 2,837.25
4. Step 4: Simplify right side
   2,014.69x = 8,049,987.56
5. Step 5: Solve for x
   x = 8,049,987.56/2,014.69
6. Step 6: Final answer
   x = 3,995.65