Finding the Third Proportional to 33,729 and 73,020

Step by Step Solution

1. Step 1: Write the proportion equation
   33,729 : 73,020 = 73,020 : x
2. Step 2: Convert to fraction form
   33,729/73,020 = 73,020/x
3. Step 3: Cross multiply
   33,729x = 73,020 × 73,020
4. Step 4: Simplify right side
   33,729x = 5,331,920,400
5. Step 5: Solve for x
   x = 5,331,920,400/33,729
6. Step 6: Final answer
   x = 158,081.19