Finding the Third Proportional to 4,105.69 and 5,838.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,105.69 : 5,838.75 = 5,838.75 : x
2. Step 2: Convert to fraction form
   4,105.69/5,838.75 = 5,838.75/x
3. Step 3: Cross multiply
   4,105.69x = 5,838.75 × 5,838.75
4. Step 4: Simplify right side
   4,105.69x = 34,091,001.56
5. Step 5: Solve for x
   x = 34,091,001.56/4,105.69
6. Step 6: Final answer
   x = 8,303.36