Finding the Third Proportional to 33,771 and 72,778

Step by Step Solution

1. Step 1: Write the proportion equation
   33,771 : 72,778 = 72,778 : x
2. Step 2: Convert to fraction form
   33,771/72,778 = 72,778/x
3. Step 3: Cross multiply
   33,771x = 72,778 × 72,778
4. Step 4: Simplify right side
   33,771x = 5,296,637,284
5. Step 5: Solve for x
   x = 5,296,637,284/33,771
6. Step 6: Final answer
   x = 156,839.81