Finding the Third Proportional to 3,755.75 and 5,838.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,755.75 : 5,838.69 = 5,838.69 : x
2. Step 2: Convert to fraction form
   3,755.75/5,838.69 = 5,838.69/x
3. Step 3: Cross multiply
   3,755.75x = 5,838.69 × 5,838.69
4. Step 4: Simplify right side
   3,755.75x = 34,090,271.72
5. Step 5: Solve for x
   x = 34,090,271.72/3,755.75
6. Step 6: Final answer
   x = 9,076.82