Finding the Third Proportional to 2,802 and 5,891

Step by Step Solution

1. Step 1: Write the proportion equation
   2,802 : 5,891 = 5,891 : x
2. Step 2: Convert to fraction form
   2,802/5,891 = 5,891/x
3. Step 3: Cross multiply
   2,802x = 5,891 × 5,891
4. Step 4: Simplify right side
   2,802x = 34,703,881
5. Step 5: Solve for x
   x = 34,703,881/2,802
6. Step 6: Final answer
   x = 12,385.40