Finding the Third Proportional to 33,494 and 50,674

Step by Step Solution

1. Step 1: Write the proportion equation
   33,494 : 50,674 = 50,674 : x
2. Step 2: Convert to fraction form
   33,494/50,674 = 50,674/x
3. Step 3: Cross multiply
   33,494x = 50,674 × 50,674
4. Step 4: Simplify right side
   33,494x = 2,567,854,276
5. Step 5: Solve for x
   x = 2,567,854,276/33,494
6. Step 6: Final answer
   x = 76,666.10