Finding the Third Proportional to 41,920 and 85,056

Step by Step Solution

1. Step 1: Write the proportion equation
   41,920 : 85,056 = 85,056 : x
2. Step 2: Convert to fraction form
   41,920/85,056 = 85,056/x
3. Step 3: Cross multiply
   41,920x = 85,056 × 85,056
4. Step 4: Simplify right side
   41,920x = 7,234,523,136
5. Step 5: Solve for x
   x = 7,234,523,136/41,920
6. Step 6: Final answer
   x = 172,579.27