Finding the Third Proportional to 8,164 and 12,950

Step by Step Solution

1. Step 1: Write the proportion equation
   8,164 : 12,950 = 12,950 : x
2. Step 2: Convert to fraction form
   8,164/12,950 = 12,950/x
3. Step 3: Cross multiply
   8,164x = 12,950 × 12,950
4. Step 4: Simplify right side
   8,164x = 167,702,500
5. Step 5: Solve for x
   x = 167,702,500/8,164
6. Step 6: Final answer
   x = 20,541.71