Finding the Third Proportional to 2,866 and 5,798

Step by Step Solution

1. Step 1: Write the proportion equation
   2,866 : 5,798 = 5,798 : x
2. Step 2: Convert to fraction form
   2,866/5,798 = 5,798/x
3. Step 3: Cross multiply
   2,866x = 5,798 × 5,798
4. Step 4: Simplify right side
   2,866x = 33,616,804
5. Step 5: Solve for x
   x = 33,616,804/2,866
6. Step 6: Final answer
   x = 11,729.52