Finding the Third Proportional to 10,002 and 14,947

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002 : 14,947 = 14,947 : x
2. Step 2: Convert to fraction form
   10,002/14,947 = 14,947/x
3. Step 3: Cross multiply
   10,002x = 14,947 × 14,947
4. Step 4: Simplify right side
   10,002x = 223,412,809
5. Step 5: Solve for x
   x = 223,412,809/10,002
6. Step 6: Final answer
   x = 22,336.81