Finding the Third Proportional to 5,801 and 12,538

Step by Step Solution

1. Step 1: Write the proportion equation
   5,801 : 12,538 = 12,538 : x
2. Step 2: Convert to fraction form
   5,801/12,538 = 12,538/x
3. Step 3: Cross multiply
   5,801x = 12,538 × 12,538
4. Step 4: Simplify right side
   5,801x = 157,201,444
5. Step 5: Solve for x
   x = 157,201,444/5,801
6. Step 6: Final answer
   x = 27,099.02