Finding the Third Proportional to 6,556 and 10,662

Step by Step Solution

1. Step 1: Write the proportion equation
   6,556 : 10,662 = 10,662 : x
2. Step 2: Convert to fraction form
   6,556/10,662 = 10,662/x
3. Step 3: Cross multiply
   6,556x = 10,662 × 10,662
4. Step 4: Simplify right side
   6,556x = 113,678,244
5. Step 5: Solve for x
   x = 113,678,244/6,556
6. Step 6: Final answer
   x = 17,339.57