Finding the Third Proportional to 33,094 and 72,012

Step by Step Solution

1. Step 1: Write the proportion equation
   33,094 : 72,012 = 72,012 : x
2. Step 2: Convert to fraction form
   33,094/72,012 = 72,012/x
3. Step 3: Cross multiply
   33,094x = 72,012 × 72,012
4. Step 4: Simplify right side
   33,094x = 5,185,728,144
5. Step 5: Solve for x
   x = 5,185,728,144/33,094
6. Step 6: Final answer
   x = 156,696.93