Finding the Third Proportional to 33,777 and 71,928

Step by Step Solution

1. Step 1: Write the proportion equation
   33,777 : 71,928 = 71,928 : x
2. Step 2: Convert to fraction form
   33,777/71,928 = 71,928/x
3. Step 3: Cross multiply
   33,777x = 71,928 × 71,928
4. Step 4: Simplify right side
   33,777x = 5,173,637,184
5. Step 5: Solve for x
   x = 5,173,637,184/33,777
6. Step 6: Final answer
   x = 153,170.42