Finding the Third Proportional to 6,556 and 10,205

Step by Step Solution

1. Step 1: Write the proportion equation
   6,556 : 10,205 = 10,205 : x
2. Step 2: Convert to fraction form
   6,556/10,205 = 10,205/x
3. Step 3: Cross multiply
   6,556x = 10,205 × 10,205
4. Step 4: Simplify right side
   6,556x = 104,142,025
5. Step 5: Solve for x
   x = 104,142,025/6,556
6. Step 6: Final answer
   x = 15,884.99