Finding the Third Proportional to 33,077 and 78,067

Step by Step Solution

1. Step 1: Write the proportion equation
   33,077 : 78,067 = 78,067 : x
2. Step 2: Convert to fraction form
   33,077/78,067 = 78,067/x
3. Step 3: Cross multiply
   33,077x = 78,067 × 78,067
4. Step 4: Simplify right side
   33,077x = 6,094,456,489
5. Step 5: Solve for x
   x = 6,094,456,489/33,077
6. Step 6: Final answer
   x = 184,250.58