Finding the Third Proportional to 15,834 and 33,456

Step by Step Solution

1. Step 1: Write the proportion equation
   15,834 : 33,456 = 33,456 : x
2. Step 2: Convert to fraction form
   15,834/33,456 = 33,456/x
3. Step 3: Cross multiply
   15,834x = 33,456 × 33,456
4. Step 4: Simplify right side
   15,834x = 1,119,303,936
5. Step 5: Solve for x
   x = 1,119,303,936/15,834
6. Step 6: Final answer
   x = 70,689.90