Finding the Third Proportional to 33,755.25 and 78,144.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,755.25 : 78,144.75 = 78,144.75 : x
2. Step 2: Convert to fraction form
   33,755.25/78,144.75 = 78,144.75/x
3. Step 3: Cross multiply
   33,755.25x = 78,144.75 × 78,144.75
4. Step 4: Simplify right side
   33,755.25x = 6,106,601,952.56
5. Step 5: Solve for x
   x = 6,106,601,952.56/33,755.25
6. Step 6: Final answer
   x = 180,908.21