Finding the Third Proportional to 33,296 and 71,330

Step by Step Solution

1. Step 1: Write the proportion equation
   33,296 : 71,330 = 71,330 : x
2. Step 2: Convert to fraction form
   33,296/71,330 = 71,330/x
3. Step 3: Cross multiply
   33,296x = 71,330 × 71,330
4. Step 4: Simplify right side
   33,296x = 5,087,968,900
5. Step 5: Solve for x
   x = 5,087,968,900/33,296
6. Step 6: Final answer
   x = 152,810.21