Finding the Third Proportional to 33,678 and 70,740

Step by Step Solution

1. Step 1: Write the proportion equation
   33,678 : 70,740 = 70,740 : x
2. Step 2: Convert to fraction form
   33,678/70,740 = 70,740/x
3. Step 3: Cross multiply
   33,678x = 70,740 × 70,740
4. Step 4: Simplify right side
   33,678x = 5,004,147,600
5. Step 5: Solve for x
   x = 5,004,147,600/33,678
6. Step 6: Final answer
   x = 148,588.03