Finding the Third Proportional to 11,538 and 25,272

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538 : 25,272 = 25,272 : x
2. Step 2: Convert to fraction form
   11,538/25,272 = 25,272/x
3. Step 3: Cross multiply
   11,538x = 25,272 × 25,272
4. Step 4: Simplify right side
   11,538x = 638,673,984
5. Step 5: Solve for x
   x = 638,673,984/11,538
6. Step 6: Final answer
   x = 55,353.96