Finding the Third Proportional to 2,628 and 5,192

Step by Step Solution

1. Step 1: Write the proportion equation
   2,628 : 5,192 = 5,192 : x
2. Step 2: Convert to fraction form
   2,628/5,192 = 5,192/x
3. Step 3: Cross multiply
   2,628x = 5,192 × 5,192
4. Step 4: Simplify right side
   2,628x = 26,956,864
5. Step 5: Solve for x
   x = 26,956,864/2,628
6. Step 6: Final answer
   x = 10,257.56