Finding the Third Proportional to 33,977 and 73,777

Step by Step Solution

1. Step 1: Write the proportion equation
   33,977 : 73,777 = 73,777 : x
2. Step 2: Convert to fraction form
   33,977/73,777 = 73,777/x
3. Step 3: Cross multiply
   33,977x = 73,777 × 73,777
4. Step 4: Simplify right side
   33,977x = 5,443,045,729
5. Step 5: Solve for x
   x = 5,443,045,729/33,977
6. Step 6: Final answer
   x = 160,197.95