Finding the Third Proportional to 33,024 and 72,084

Step by Step Solution

1. Step 1: Write the proportion equation
   33,024 : 72,084 = 72,084 : x
2. Step 2: Convert to fraction form
   33,024/72,084 = 72,084/x
3. Step 3: Cross multiply
   33,024x = 72,084 × 72,084
4. Step 4: Simplify right side
   33,024x = 5,196,103,056
5. Step 5: Solve for x
   x = 5,196,103,056/33,024
6. Step 6: Final answer
   x = 157,343.24