Finding the Third Proportional to 11,382 and 18,271

Step by Step Solution

1. Step 1: Write the proportion equation
   11,382 : 18,271 = 18,271 : x
2. Step 2: Convert to fraction form
   11,382/18,271 = 18,271/x
3. Step 3: Cross multiply
   11,382x = 18,271 × 18,271
4. Step 4: Simplify right side
   11,382x = 333,829,441
5. Step 5: Solve for x
   x = 333,829,441/11,382
6. Step 6: Final answer
   x = 29,329.59