Finding the Third Proportional to 13,640 and 16,072

Step by Step Solution

1. Step 1: Write the proportion equation
   13,640 : 16,072 = 16,072 : x
2. Step 2: Convert to fraction form
   13,640/16,072 = 16,072/x
3. Step 3: Cross multiply
   13,640x = 16,072 × 16,072
4. Step 4: Simplify right side
   13,640x = 258,309,184
5. Step 5: Solve for x
   x = 258,309,184/13,640
6. Step 6: Final answer
   x = 18,937.62