Finding the Third Proportional to 2,696 and 5,923

Step by Step Solution

1. Step 1: Write the proportion equation
   2,696 : 5,923 = 5,923 : x
2. Step 2: Convert to fraction form
   2,696/5,923 = 5,923/x
3. Step 3: Cross multiply
   2,696x = 5,923 × 5,923
4. Step 4: Simplify right side
   2,696x = 35,081,929
5. Step 5: Solve for x
   x = 35,081,929/2,696
6. Step 6: Final answer
   x = 13,012.58