Finding the Third Proportional to 33,078 and 78,021

Step by Step Solution

1. Step 1: Write the proportion equation
   33,078 : 78,021 = 78,021 : x
2. Step 2: Convert to fraction form
   33,078/78,021 = 78,021/x
3. Step 3: Cross multiply
   33,078x = 78,021 × 78,021
4. Step 4: Simplify right side
   33,078x = 6,087,276,441
5. Step 5: Solve for x
   x = 6,087,276,441/33,078
6. Step 6: Final answer
   x = 184,027.95