Finding the Third Proportional to 3,400 and 5,895

Step by Step Solution

1. Step 1: Write the proportion equation
   3,400 : 5,895 = 5,895 : x
2. Step 2: Convert to fraction form
   3,400/5,895 = 5,895/x
3. Step 3: Cross multiply
   3,400x = 5,895 × 5,895
4. Step 4: Simplify right side
   3,400x = 34,751,025
5. Step 5: Solve for x
   x = 34,751,025/3,400
6. Step 6: Final answer
   x = 10,220.89