Finding the Third Proportional to 2,698 and 5,927

Step by Step Solution

1. Step 1: Write the proportion equation
   2,698 : 5,927 = 5,927 : x
2. Step 2: Convert to fraction form
   2,698/5,927 = 5,927/x
3. Step 3: Cross multiply
   2,698x = 5,927 × 5,927
4. Step 4: Simplify right side
   2,698x = 35,129,329
5. Step 5: Solve for x
   x = 35,129,329/2,698
6. Step 6: Final answer
   x = 13,020.51