Finding the Third Proportional to 14,144 and 30,824

Step by Step Solution

1. Step 1: Write the proportion equation
   14,144 : 30,824 = 30,824 : x
2. Step 2: Convert to fraction form
   14,144/30,824 = 30,824/x
3. Step 3: Cross multiply
   14,144x = 30,824 × 30,824
4. Step 4: Simplify right side
   14,144x = 950,118,976
5. Step 5: Solve for x
   x = 950,118,976/14,144
6. Step 6: Final answer
   x = 67,174.70