Finding the Third Proportional to 13,540 and 16,012

Step by Step Solution

1. Step 1: Write the proportion equation
   13,540 : 16,012 = 16,012 : x
2. Step 2: Convert to fraction form
   13,540/16,012 = 16,012/x
3. Step 3: Cross multiply
   13,540x = 16,012 × 16,012
4. Step 4: Simplify right side
   13,540x = 256,384,144
5. Step 5: Solve for x
   x = 256,384,144/13,540
6. Step 6: Final answer
   x = 18,935.31