Finding the Third Proportional to 13,530 and 16,002

Step by Step Solution

1. Step 1: Write the proportion equation
   13,530 : 16,002 = 16,002 : x
2. Step 2: Convert to fraction form
   13,530/16,002 = 16,002/x
3. Step 3: Cross multiply
   13,530x = 16,002 × 16,002
4. Step 4: Simplify right side
   13,530x = 256,064,004
5. Step 5: Solve for x
   x = 256,064,004/13,530
6. Step 6: Final answer
   x = 18,925.65