Finding the Third Proportional to 31,920 and 68,184

Step by Step Solution

1. Step 1: Write the proportion equation
   31,920 : 68,184 = 68,184 : x
2. Step 2: Convert to fraction form
   31,920/68,184 = 68,184/x
3. Step 3: Cross multiply
   31,920x = 68,184 × 68,184
4. Step 4: Simplify right side
   31,920x = 4,649,057,856
5. Step 5: Solve for x
   x = 4,649,057,856/31,920
6. Step 6: Final answer
   x = 145,647.18