Finding the Third Proportional to 33,309 and 71,355

Step by Step Solution

1. Step 1: Write the proportion equation
   33,309 : 71,355 = 71,355 : x
2. Step 2: Convert to fraction form
   33,309/71,355 = 71,355/x
3. Step 3: Cross multiply
   33,309x = 71,355 × 71,355
4. Step 4: Simplify right side
   33,309x = 5,091,536,025
5. Step 5: Solve for x
   x = 5,091,536,025/33,309
6. Step 6: Final answer
   x = 152,857.67