Finding the Third Proportional to 33,757 and 73,878

Step by Step Solution

1. Step 1: Write the proportion equation
   33,757 : 73,878 = 73,878 : x
2. Step 2: Convert to fraction form
   33,757/73,878 = 73,878/x
3. Step 3: Cross multiply
   33,757x = 73,878 × 73,878
4. Step 4: Simplify right side
   33,757x = 5,457,958,884
5. Step 5: Solve for x
   x = 5,457,958,884/33,757
6. Step 6: Final answer
   x = 161,683.77