Finding the Third Proportional to 33,077.25 and 78,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,077.25 : 78,016.50 = 78,016.50 : x
2. Step 2: Convert to fraction form
   33,077.25/78,016.50 = 78,016.50/x
3. Step 3: Cross multiply
   33,077.25x = 78,016.50 × 78,016.50
4. Step 4: Simplify right side
   33,077.25x = 6,086,574,272.25
5. Step 5: Solve for x
   x = 6,086,574,272.25/33,077.25
6. Step 6: Final answer
   x = 184,010.89