Finding the Third Proportional to 15,678 and 33,512

Step by Step Solution

1. Step 1: Write the proportion equation
   15,678 : 33,512 = 33,512 : x
2. Step 2: Convert to fraction form
   15,678/33,512 = 33,512/x
3. Step 3: Cross multiply
   15,678x = 33,512 × 33,512
4. Step 4: Simplify right side
   15,678x = 1,123,054,144
5. Step 5: Solve for x
   x = 1,123,054,144/15,678
6. Step 6: Final answer
   x = 71,632.49