Finding the Third Proportional to 33,777 and 71,707.78

Step by Step Solution

1. Step 1: Write the proportion equation
   33,777 : 71,707.78 = 71,707.78 : x
2. Step 2: Convert to fraction form
   33,777/71,707.78 = 71,707.78/x
3. Step 3: Cross multiply
   33,777x = 71,707.78 × 71,707.78
4. Step 4: Simplify right side
   33,777x = 5,142,005,891.80
5. Step 5: Solve for x
   x = 5,142,005,891.80/33,777
6. Step 6: Final answer
   x = 152,233.94