Finding the Third Proportional to 33,783.75 and 78,293.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,783.75 : 78,293.25 = 78,293.25 : x
2. Step 2: Convert to fraction form
   33,783.75/78,293.25 = 78,293.25/x
3. Step 3: Cross multiply
   33,783.75x = 78,293.25 × 78,293.25
4. Step 4: Simplify right side
   33,783.75x = 6,129,832,995.56
5. Step 5: Solve for x
   x = 6,129,832,995.56/33,783.75
6. Step 6: Final answer
   x = 181,443.24