Finding the Third Proportional to 2,338 and 3,516

Step by Step Solution

1. Step 1: Write the proportion equation
   2,338 : 3,516 = 3,516 : x
2. Step 2: Convert to fraction form
   2,338/3,516 = 3,516/x
3. Step 3: Cross multiply
   2,338x = 3,516 × 3,516
4. Step 4: Simplify right side
   2,338x = 12,362,256
5. Step 5: Solve for x
   x = 12,362,256/2,338
6. Step 6: Final answer
   x = 5,287.53