Finding the Third Proportional to 11,540 and 17,236

Step by Step Solution

1. Step 1: Write the proportion equation
   11,540 : 17,236 = 17,236 : x
2. Step 2: Convert to fraction form
   11,540/17,236 = 17,236/x
3. Step 3: Cross multiply
   11,540x = 17,236 × 17,236
4. Step 4: Simplify right side
   11,540x = 297,079,696
5. Step 5: Solve for x
   x = 297,079,696/11,540
6. Step 6: Final answer
   x = 25,743.47