Finding the Third Proportional to 2,081.35 and 3,097.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.35 : 3,097.69 = 3,097.69 : x
2. Step 2: Convert to fraction form
   2,081.35/3,097.69 = 3,097.69/x
3. Step 3: Cross multiply
   2,081.35x = 3,097.69 × 3,097.69
4. Step 4: Simplify right side
   2,081.35x = 9,595,706.98
5. Step 5: Solve for x
   x = 9,595,706.98/2,081.35
6. Step 6: Final answer
   x = 4,610.33