Finding the Third Proportional to 15,414 and 33,166

Step by Step Solution

1. Step 1: Write the proportion equation
   15,414 : 33,166 = 33,166 : x
2. Step 2: Convert to fraction form
   15,414/33,166 = 33,166/x
3. Step 3: Cross multiply
   15,414x = 33,166 × 33,166
4. Step 4: Simplify right side
   15,414x = 1,099,983,556
5. Step 5: Solve for x
   x = 1,099,983,556/15,414
6. Step 6: Final answer
   x = 71,362.63