Finding the Third Proportional to 2,698 and 5,924

Step by Step Solution

1. Step 1: Write the proportion equation
   2,698 : 5,924 = 5,924 : x
2. Step 2: Convert to fraction form
   2,698/5,924 = 5,924/x
3. Step 3: Cross multiply
   2,698x = 5,924 × 5,924
4. Step 4: Simplify right side
   2,698x = 35,093,776
5. Step 5: Solve for x
   x = 35,093,776/2,698
6. Step 6: Final answer
   x = 13,007.33