Finding the Third Proportional to 33,310 and 71,357

Step by Step Solution

1. Step 1: Write the proportion equation
   33,310 : 71,357 = 71,357 : x
2. Step 2: Convert to fraction form
   33,310/71,357 = 71,357/x
3. Step 3: Cross multiply
   33,310x = 71,357 × 71,357
4. Step 4: Simplify right side
   33,310x = 5,091,821,449
5. Step 5: Solve for x
   x = 5,091,821,449/33,310
6. Step 6: Final answer
   x = 152,861.65