Finding the Third Proportional to 10,116 and 16,002

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116 : 16,002 = 16,002 : x
2. Step 2: Convert to fraction form
   10,116/16,002 = 16,002/x
3. Step 3: Cross multiply
   10,116x = 16,002 × 16,002
4. Step 4: Simplify right side
   10,116x = 256,064,004
5. Step 5: Solve for x
   x = 256,064,004/10,116
6. Step 6: Final answer
   x = 25,312.77