Finding the Third Proportional to 6,770 and 10,467

Step by Step Solution

1. Step 1: Write the proportion equation
   6,770 : 10,467 = 10,467 : x
2. Step 2: Convert to fraction form
   6,770/10,467 = 10,467/x
3. Step 3: Cross multiply
   6,770x = 10,467 × 10,467
4. Step 4: Simplify right side
   6,770x = 109,558,089
5. Step 5: Solve for x
   x = 109,558,089/6,770
6. Step 6: Final answer
   x = 16,182.88