Finding the Third Proportional to 5,872 and 10,538

Step by Step Solution

1. Step 1: Write the proportion equation
   5,872 : 10,538 = 10,538 : x
2. Step 2: Convert to fraction form
   5,872/10,538 = 10,538/x
3. Step 3: Cross multiply
   5,872x = 10,538 × 10,538
4. Step 4: Simplify right side
   5,872x = 111,049,444
5. Step 5: Solve for x
   x = 111,049,444/5,872
6. Step 6: Final answer
   x = 18,911.69