Finding the Third Proportional to 33,676 and 70,844

Step by Step Solution

1. Step 1: Write the proportion equation
   33,676 : 70,844 = 70,844 : x
2. Step 2: Convert to fraction form
   33,676/70,844 = 70,844/x
3. Step 3: Cross multiply
   33,676x = 70,844 × 70,844
4. Step 4: Simplify right side
   33,676x = 5,018,872,336
5. Step 5: Solve for x
   x = 5,018,872,336/33,676
6. Step 6: Final answer
   x = 149,034.10