Finding the Third Proportional to 12,072 and 21,831

Step by Step Solution

1. Step 1: Write the proportion equation
   12,072 : 21,831 = 21,831 : x
2. Step 2: Convert to fraction form
   12,072/21,831 = 21,831/x
3. Step 3: Cross multiply
   12,072x = 21,831 × 21,831
4. Step 4: Simplify right side
   12,072x = 476,592,561
5. Step 5: Solve for x
   x = 476,592,561/12,072
6. Step 6: Final answer
   x = 39,479.17