Finding the Third Proportional to 14,648 and 20,144

Step by Step Solution

1. Step 1: Write the proportion equation
   14,648 : 20,144 = 20,144 : x
2. Step 2: Convert to fraction form
   14,648/20,144 = 20,144/x
3. Step 3: Cross multiply
   14,648x = 20,144 × 20,144
4. Step 4: Simplify right side
   14,648x = 405,780,736
5. Step 5: Solve for x
   x = 405,780,736/14,648
6. Step 6: Final answer
   x = 27,702.13