Finding the Third Proportional to 6,164 and 12,922

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164 : 12,922 = 12,922 : x
2. Step 2: Convert to fraction form
   6,164/12,922 = 12,922/x
3. Step 3: Cross multiply
   6,164x = 12,922 × 12,922
4. Step 4: Simplify right side
   6,164x = 166,978,084
5. Step 5: Solve for x
   x = 166,978,084/6,164
6. Step 6: Final answer
   x = 27,089.24