Finding the Third Proportional to 33,340 and 71,864

Step by Step Solution

1. Step 1: Write the proportion equation
   33,340 : 71,864 = 71,864 : x
2. Step 2: Convert to fraction form
   33,340/71,864 = 71,864/x
3. Step 3: Cross multiply
   33,340x = 71,864 × 71,864
4. Step 4: Simplify right side
   33,340x = 5,164,434,496
5. Step 5: Solve for x
   x = 5,164,434,496/33,340
6. Step 6: Final answer
   x = 154,902.05