Finding the Third Proportional to 33,084 and 78,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,084 : 78,034.50 = 78,034.50 : x
2. Step 2: Convert to fraction form
   33,084/78,034.50 = 78,034.50/x
3. Step 3: Cross multiply
   33,084x = 78,034.50 × 78,034.50
4. Step 4: Simplify right side
   33,084x = 6,089,383,190.25
5. Step 5: Solve for x
   x = 6,089,383,190.25/33,084
6. Step 6: Final answer
   x = 184,058.25