Finding the Third Proportional to 11,628 and 25,238

Step by Step Solution

1. Step 1: Write the proportion equation
   11,628 : 25,238 = 25,238 : x
2. Step 2: Convert to fraction form
   11,628/25,238 = 25,238/x
3. Step 3: Cross multiply
   11,628x = 25,238 × 25,238
4. Step 4: Simplify right side
   11,628x = 636,956,644
5. Step 5: Solve for x
   x = 636,956,644/11,628
6. Step 6: Final answer
   x = 54,777.83