Finding the Third Proportional to 33,746 and 73,846

Step by Step Solution

1. Step 1: Write the proportion equation
   33,746 : 73,846 = 73,846 : x
2. Step 2: Convert to fraction form
   33,746/73,846 = 73,846/x
3. Step 3: Cross multiply
   33,746x = 73,846 × 73,846
4. Step 4: Simplify right side
   33,746x = 5,453,231,716
5. Step 5: Solve for x
   x = 5,453,231,716/33,746
6. Step 6: Final answer
   x = 161,596.39