Finding the Third Proportional to 33,237 and 71,410

Step by Step Solution

1. Step 1: Write the proportion equation
   33,237 : 71,410 = 71,410 : x
2. Step 2: Convert to fraction form
   33,237/71,410 = 71,410/x
3. Step 3: Cross multiply
   33,237x = 71,410 × 71,410
4. Step 4: Simplify right side
   33,237x = 5,099,388,100
5. Step 5: Solve for x
   x = 5,099,388,100/33,237
6. Step 6: Final answer
   x = 153,425.04