Finding the Third Proportional to 17,540 and 27,206

Step by Step Solution

1. Step 1: Write the proportion equation
   17,540 : 27,206 = 27,206 : x
2. Step 2: Convert to fraction form
   17,540/27,206 = 27,206/x
3. Step 3: Cross multiply
   17,540x = 27,206 × 27,206
4. Step 4: Simplify right side
   17,540x = 740,166,436
5. Step 5: Solve for x
   x = 740,166,436/17,540
6. Step 6: Final answer
   x = 42,198.77