Finding the Third Proportional to 8,460 and 16,002

Step by Step Solution

1. Step 1: Write the proportion equation
   8,460 : 16,002 = 16,002 : x
2. Step 2: Convert to fraction form
   8,460/16,002 = 16,002/x
3. Step 3: Cross multiply
   8,460x = 16,002 × 16,002
4. Step 4: Simplify right side
   8,460x = 256,064,004
5. Step 5: Solve for x
   x = 256,064,004/8,460
6. Step 6: Final answer
   x = 30,267.61