Finding the Third Proportional to 2,170 and 5,854

Step by Step Solution

1. Step 1: Write the proportion equation
   2,170 : 5,854 = 5,854 : x
2. Step 2: Convert to fraction form
   2,170/5,854 = 5,854/x
3. Step 3: Cross multiply
   2,170x = 5,854 × 5,854
4. Step 4: Simplify right side
   2,170x = 34,269,316
5. Step 5: Solve for x
   x = 34,269,316/2,170
6. Step 6: Final answer
   x = 15,792.31