Finding the Third Proportional to 10,072 and 16,004

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 16,004 = 16,004 : x
2. Step 2: Convert to fraction form
   10,072/16,004 = 16,004/x
3. Step 3: Cross multiply
   10,072x = 16,004 × 16,004
4. Step 4: Simplify right side
   10,072x = 256,128,016
5. Step 5: Solve for x
   x = 256,128,016/10,072
6. Step 6: Final answer
   x = 25,429.71