Finding the Third Proportional to 14,105 and 33,417

Step by Step Solution

1. Step 1: Write the proportion equation
   14,105 : 33,417 = 33,417 : x
2. Step 2: Convert to fraction form
   14,105/33,417 = 33,417/x
3. Step 3: Cross multiply
   14,105x = 33,417 × 33,417
4. Step 4: Simplify right side
   14,105x = 1,116,695,889
5. Step 5: Solve for x
   x = 1,116,695,889/14,105
6. Step 6: Final answer
   x = 79,170.22