Finding the Third Proportional to 37,920 and 87,936

Step by Step Solution

1. Step 1: Write the proportion equation
   37,920 : 87,936 = 87,936 : x
2. Step 2: Convert to fraction form
   37,920/87,936 = 87,936/x
3. Step 3: Cross multiply
   37,920x = 87,936 × 87,936
4. Step 4: Simplify right side
   37,920x = 7,732,740,096
5. Step 5: Solve for x
   x = 7,732,740,096/37,920
6. Step 6: Final answer
   x = 203,922.47