Finding the Third Proportional to 33,161 and 72,094

Step by Step Solution

1. Step 1: Write the proportion equation
   33,161 : 72,094 = 72,094 : x
2. Step 2: Convert to fraction form
   33,161/72,094 = 72,094/x
3. Step 3: Cross multiply
   33,161x = 72,094 × 72,094
4. Step 4: Simplify right side
   33,161x = 5,197,544,836
5. Step 5: Solve for x
   x = 5,197,544,836/33,161
6. Step 6: Final answer
   x = 156,736.67