Finding the Third Proportional to 2,864 and 4,010

Step by Step Solution

1. Step 1: Write the proportion equation
   2,864 : 4,010 = 4,010 : x
2. Step 2: Convert to fraction form
   2,864/4,010 = 4,010/x
3. Step 3: Cross multiply
   2,864x = 4,010 × 4,010
4. Step 4: Simplify right side
   2,864x = 16,080,100
5. Step 5: Solve for x
   x = 16,080,100/2,864
6. Step 6: Final answer
   x = 5,614.56