Finding the Third Proportional to 2,338 and 5,764

Step by Step Solution

1. Step 1: Write the proportion equation
   2,338 : 5,764 = 5,764 : x
2. Step 2: Convert to fraction form
   2,338/5,764 = 5,764/x
3. Step 3: Cross multiply
   2,338x = 5,764 × 5,764
4. Step 4: Simplify right side
   2,338x = 33,223,696
5. Step 5: Solve for x
   x = 33,223,696/2,338
6. Step 6: Final answer
   x = 14,210.31