Finding the Third Proportional to 12,569 and 18,271

Step by Step Solution

1. Step 1: Write the proportion equation
   12,569 : 18,271 = 18,271 : x
2. Step 2: Convert to fraction form
   12,569/18,271 = 18,271/x
3. Step 3: Cross multiply
   12,569x = 18,271 × 18,271
4. Step 4: Simplify right side
   12,569x = 333,829,441
5. Step 5: Solve for x
   x = 333,829,441/12,569
6. Step 6: Final answer
   x = 26,559.75