Finding the Third Proportional to 33,112 and 71,412

Step by Step Solution

1. Step 1: Write the proportion equation
   33,112 : 71,412 = 71,412 : x
2. Step 2: Convert to fraction form
   33,112/71,412 = 71,412/x
3. Step 3: Cross multiply
   33,112x = 71,412 × 71,412
4. Step 4: Simplify right side
   33,112x = 5,099,673,744
5. Step 5: Solve for x
   x = 5,099,673,744/33,112
6. Step 6: Final answer
   x = 154,012.86