Finding the Third Proportional to 3,105.84 and 4,665.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,105.84 : 4,665.09 = 4,665.09 : x
2. Step 2: Convert to fraction form
   3,105.84/4,665.09 = 4,665.09/x
3. Step 3: Cross multiply
   3,105.84x = 4,665.09 × 4,665.09
4. Step 4: Simplify right side
   3,105.84x = 21,763,099.70
5. Step 5: Solve for x
   x = 21,763,099.70/3,105.84
6. Step 6: Final answer
   x = 7,007.15