Finding the Third Proportional to 10,004 and 14,667

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004 : 14,667 = 14,667 : x
2. Step 2: Convert to fraction form
   10,004/14,667 = 14,667/x
3. Step 3: Cross multiply
   10,004x = 14,667 × 14,667
4. Step 4: Simplify right side
   10,004x = 215,120,889
5. Step 5: Solve for x
   x = 215,120,889/10,004
6. Step 6: Final answer
   x = 21,503.49