Finding the Third Proportional to 12,072 and 15,672

Step by Step Solution

1. Step 1: Write the proportion equation
   12,072 : 15,672 = 15,672 : x
2. Step 2: Convert to fraction form
   12,072/15,672 = 15,672/x
3. Step 3: Cross multiply
   12,072x = 15,672 × 15,672
4. Step 4: Simplify right side
   12,072x = 245,611,584
5. Step 5: Solve for x
   x = 245,611,584/12,072
6. Step 6: Final answer
   x = 20,345.56