Finding the Third Proportional to 2,014.31 and 3,097.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,014.31 : 3,097.69 = 3,097.69 : x
2. Step 2: Convert to fraction form
   2,014.31/3,097.69 = 3,097.69/x
3. Step 3: Cross multiply
   2,014.31x = 3,097.69 × 3,097.69
4. Step 4: Simplify right side
   2,014.31x = 9,595,667.85
5. Step 5: Solve for x
   x = 9,595,667.85/2,014.31
6. Step 6: Final answer
   x = 4,763.74