Finding the Third Proportional to 14,142 and 33,456

Step by Step Solution

1. Step 1: Write the proportion equation
   14,142 : 33,456 = 33,456 : x
2. Step 2: Convert to fraction form
   14,142/33,456 = 33,456/x
3. Step 3: Cross multiply
   14,142x = 33,456 × 33,456
4. Step 4: Simplify right side
   14,142x = 1,119,303,936
5. Step 5: Solve for x
   x = 1,119,303,936/14,142
6. Step 6: Final answer
   x = 79,147.50