Finding the Third Proportional to 7,692 and 10,538

Step by Step Solution

1. Step 1: Write the proportion equation
   7,692 : 10,538 = 10,538 : x
2. Step 2: Convert to fraction form
   7,692/10,538 = 10,538/x
3. Step 3: Cross multiply
   7,692x = 10,538 × 10,538
4. Step 4: Simplify right side
   7,692x = 111,049,444
5. Step 5: Solve for x
   x = 111,049,444/7,692
6. Step 6: Final answer
   x = 14,437.01