Finding the Third Proportional to 2,746 and 5,924

Step by Step Solution

1. Step 1: Write the proportion equation
   2,746 : 5,924 = 5,924 : x
2. Step 2: Convert to fraction form
   2,746/5,924 = 5,924/x
3. Step 3: Cross multiply
   2,746x = 5,924 × 5,924
4. Step 4: Simplify right side
   2,746x = 35,093,776
5. Step 5: Solve for x
   x = 35,093,776/2,746
6. Step 6: Final answer
   x = 12,779.96