Finding the Third Proportional to 10,698 and 16,467

Step by Step Solution

1. Step 1: Write the proportion equation
   10,698 : 16,467 = 16,467 : x
2. Step 2: Convert to fraction form
   10,698/16,467 = 16,467/x
3. Step 3: Cross multiply
   10,698x = 16,467 × 16,467
4. Step 4: Simplify right side
   10,698x = 271,162,089
5. Step 5: Solve for x
   x = 271,162,089/10,698
6. Step 6: Final answer
   x = 25,346.99