Finding the Third Proportional to 2,866 and 4,090

Step by Step Solution

1. Step 1: Write the proportion equation
   2,866 : 4,090 = 4,090 : x
2. Step 2: Convert to fraction form
   2,866/4,090 = 4,090/x
3. Step 3: Cross multiply
   2,866x = 4,090 × 4,090
4. Step 4: Simplify right side
   2,866x = 16,728,100
5. Step 5: Solve for x
   x = 16,728,100/2,866
6. Step 6: Final answer
   x = 5,836.74