Finding the Third Proportional to 11,845 and 25,538

Step by Step Solution

1. Step 1: Write the proportion equation
   11,845 : 25,538 = 25,538 : x
2. Step 2: Convert to fraction form
   11,845/25,538 = 25,538/x
3. Step 3: Cross multiply
   11,845x = 25,538 × 25,538
4. Step 4: Simplify right side
   11,845x = 652,189,444
5. Step 5: Solve for x
   x = 652,189,444/11,845
6. Step 6: Final answer
   x = 55,060.32