Finding the Third Proportional to 3,862.69 and 5,896.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,862.69 : 5,896.55 = 5,896.55 : x
2. Step 2: Convert to fraction form
   3,862.69/5,896.55 = 5,896.55/x
3. Step 3: Cross multiply
   3,862.69x = 5,896.55 × 5,896.55
4. Step 4: Simplify right side
   3,862.69x = 34,769,265.05
5. Step 5: Solve for x
   x = 34,769,265.05/3,862.69
6. Step 6: Final answer
   x = 9,001.31