Finding the Third Proportional to 2,053.38 and 3,105.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.38 : 3,105.69 = 3,105.69 : x
2. Step 2: Convert to fraction form
   2,053.38/3,105.69 = 3,105.69/x
3. Step 3: Cross multiply
   2,053.38x = 3,105.69 × 3,105.69
4. Step 4: Simplify right side
   2,053.38x = 9,645,294.85
5. Step 5: Solve for x
   x = 9,645,294.85/2,053.38
6. Step 6: Final answer
   x = 4,697.29