Finding the Third Proportional to 33,736 and 74,096

Step by Step Solution

1. Step 1: Write the proportion equation
   33,736 : 74,096 = 74,096 : x
2. Step 2: Convert to fraction form
   33,736/74,096 = 74,096/x
3. Step 3: Cross multiply
   33,736x = 74,096 × 74,096
4. Step 4: Simplify right side
   33,736x = 5,490,217,216
5. Step 5: Solve for x
   x = 5,490,217,216/33,736
6. Step 6: Final answer
   x = 162,740.61