Finding the Third Proportional to 8,004 and 12,966

Step by Step Solution

1. Step 1: Write the proportion equation
   8,004 : 12,966 = 12,966 : x
2. Step 2: Convert to fraction form
   8,004/12,966 = 12,966/x
3. Step 3: Cross multiply
   8,004x = 12,966 × 12,966
4. Step 4: Simplify right side
   8,004x = 168,117,156
5. Step 5: Solve for x
   x = 168,117,156/8,004
6. Step 6: Final answer
   x = 21,004.14