Finding the Third Proportional to 33,027 and 71,886

Step by Step Solution

1. Step 1: Write the proportion equation
   33,027 : 71,886 = 71,886 : x
2. Step 2: Convert to fraction form
   33,027/71,886 = 71,886/x
3. Step 3: Cross multiply
   33,027x = 71,886 × 71,886
4. Step 4: Simplify right side
   33,027x = 5,167,596,996
5. Step 5: Solve for x
   x = 5,167,596,996/33,027
6. Step 6: Final answer
   x = 156,465.83