Finding the Third Proportional to 33,164 and 72,494

Step by Step Solution

1. Step 1: Write the proportion equation
   33,164 : 72,494 = 72,494 : x
2. Step 2: Convert to fraction form
   33,164/72,494 = 72,494/x
3. Step 3: Cross multiply
   33,164x = 72,494 × 72,494
4. Step 4: Simplify right side
   33,164x = 5,255,380,036
5. Step 5: Solve for x
   x = 5,255,380,036/33,164
6. Step 6: Final answer
   x = 158,466.41