Finding the Third Proportional to 2,806 and 5,888

Step by Step Solution

1. Step 1: Write the proportion equation
   2,806 : 5,888 = 5,888 : x
2. Step 2: Convert to fraction form
   2,806/5,888 = 5,888/x
3. Step 3: Cross multiply
   2,806x = 5,888 × 5,888
4. Step 4: Simplify right side
   2,806x = 34,668,544
5. Step 5: Solve for x
   x = 34,668,544/2,806
6. Step 6: Final answer
   x = 12,355.15