Finding the Third Proportional to 2,592 and 5,238

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592 : 5,238 = 5,238 : x
2. Step 2: Convert to fraction form
   2,592/5,238 = 5,238/x
3. Step 3: Cross multiply
   2,592x = 5,238 × 5,238
4. Step 4: Simplify right side
   2,592x = 27,436,644
5. Step 5: Solve for x
   x = 27,436,644/2,592
6. Step 6: Final answer
   x = 10,585.13