Finding the Third Proportional to 16,144 and 34,016

Step by Step Solution

1. Step 1: Write the proportion equation
   16,144 : 34,016 = 34,016 : x
2. Step 2: Convert to fraction form
   16,144/34,016 = 34,016/x
3. Step 3: Cross multiply
   16,144x = 34,016 × 34,016
4. Step 4: Simplify right side
   16,144x = 1,157,088,256
5. Step 5: Solve for x
   x = 1,157,088,256/16,144
6. Step 6: Final answer
   x = 71,672.96