Finding the Third Proportional to 33,974 and 74,020

Step by Step Solution

1. Step 1: Write the proportion equation
   33,974 : 74,020 = 74,020 : x
2. Step 2: Convert to fraction form
   33,974/74,020 = 74,020/x
3. Step 3: Cross multiply
   33,974x = 74,020 × 74,020
4. Step 4: Simplify right side
   33,974x = 5,478,960,400
5. Step 5: Solve for x
   x = 5,478,960,400/33,974
6. Step 6: Final answer
   x = 161,269.22