Finding the Third Proportional to 10,100 and 11,540

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100 : 11,540 = 11,540 : x
2. Step 2: Convert to fraction form
   10,100/11,540 = 11,540/x
3. Step 3: Cross multiply
   10,100x = 11,540 × 11,540
4. Step 4: Simplify right side
   10,100x = 133,171,600
5. Step 5: Solve for x
   x = 133,171,600/10,100
6. Step 6: Final answer
   x = 13,185.31