Finding the Third Proportional to 33,740.72 and 78,111.42

Step by Step Solution

1. Step 1: Write the proportion equation
   33,740.72 : 78,111.42 = 78,111.42 : x
2. Step 2: Convert to fraction form
   33,740.72/78,111.42 = 78,111.42/x
3. Step 3: Cross multiply
   33,740.72x = 78,111.42 × 78,111.42
4. Step 4: Simplify right side
   33,740.72x = 6,101,394,227.33
5. Step 5: Solve for x
   x = 6,101,394,227.33/33,740.72
6. Step 6: Final answer
   x = 180,831.78