Finding the Third Proportional to 16,271 and 22,102

Step by Step Solution

1. Step 1: Write the proportion equation
   16,271 : 22,102 = 22,102 : x
2. Step 2: Convert to fraction form
   16,271/22,102 = 22,102/x
3. Step 3: Cross multiply
   16,271x = 22,102 × 22,102
4. Step 4: Simplify right side
   16,271x = 488,498,404
5. Step 5: Solve for x
   x = 488,498,404/16,271
6. Step 6: Final answer
   x = 30,022.64