Finding the Third Proportional to 9,540 and 10,372

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540 : 10,372 = 10,372 : x
2. Step 2: Convert to fraction form
   9,540/10,372 = 10,372/x
3. Step 3: Cross multiply
   9,540x = 10,372 × 10,372
4. Step 4: Simplify right side
   9,540x = 107,578,384
5. Step 5: Solve for x
   x = 107,578,384/9,540
6. Step 6: Final answer
   x = 11,276.56