Finding the Third Proportional to 34,072 and 74,144

Step by Step Solution

1. Step 1: Write the proportion equation
   34,072 : 74,144 = 74,144 : x
2. Step 2: Convert to fraction form
   34,072/74,144 = 74,144/x
3. Step 3: Cross multiply
   34,072x = 74,144 × 74,144
4. Step 4: Simplify right side
   34,072x = 5,497,332,736
5. Step 5: Solve for x
   x = 5,497,332,736/34,072
6. Step 6: Final answer
   x = 161,344.59