Finding the Third Proportional to 33,729 and 74,019

Step by Step Solution

1. Step 1: Write the proportion equation
   33,729 : 74,019 = 74,019 : x
2. Step 2: Convert to fraction form
   33,729/74,019 = 74,019/x
3. Step 3: Cross multiply
   33,729x = 74,019 × 74,019
4. Step 4: Simplify right side
   33,729x = 5,478,812,361
5. Step 5: Solve for x
   x = 5,478,812,361/33,729
6. Step 6: Final answer
   x = 162,436.25