Finding the Third Proportional to 8,364 and 12,967

Step by Step Solution

1. Step 1: Write the proportion equation
   8,364 : 12,967 = 12,967 : x
2. Step 2: Convert to fraction form
   8,364/12,967 = 12,967/x
3. Step 3: Cross multiply
   8,364x = 12,967 × 12,967
4. Step 4: Simplify right side
   8,364x = 168,143,089
5. Step 5: Solve for x
   x = 168,143,089/8,364
6. Step 6: Final answer
   x = 20,103.19