Finding the Third Proportional to 30,720 and 71,936

Step by Step Solution

1. Step 1: Write the proportion equation
   30,720 : 71,936 = 71,936 : x
2. Step 2: Convert to fraction form
   30,720/71,936 = 71,936/x
3. Step 3: Cross multiply
   30,720x = 71,936 × 71,936
4. Step 4: Simplify right side
   30,720x = 5,174,788,096
5. Step 5: Solve for x
   x = 5,174,788,096/30,720
6. Step 6: Final answer
   x = 168,450.13