Finding the Third Proportional to 8,072 and 12,164

Step by Step Solution

1. Step 1: Write the proportion equation
   8,072 : 12,164 = 12,164 : x
2. Step 2: Convert to fraction form
   8,072/12,164 = 12,164/x
3. Step 3: Cross multiply
   8,072x = 12,164 × 12,164
4. Step 4: Simplify right side
   8,072x = 147,962,896
5. Step 5: Solve for x
   x = 147,962,896/8,072
6. Step 6: Final answer
   x = 18,330.39