Finding the Third Proportional to 10,072 and 17,936

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 17,936 = 17,936 : x
2. Step 2: Convert to fraction form
   10,072/17,936 = 17,936/x
3. Step 3: Cross multiply
   10,072x = 17,936 × 17,936
4. Step 4: Simplify right side
   10,072x = 321,700,096
5. Step 5: Solve for x
   x = 321,700,096/10,072
6. Step 6: Final answer
   x = 31,940.04