Finding the Third Proportional to 34,013 and 73,674

Step by Step Solution

1. Step 1: Write the proportion equation
   34,013 : 73,674 = 73,674 : x
2. Step 2: Convert to fraction form
   34,013/73,674 = 73,674/x
3. Step 3: Cross multiply
   34,013x = 73,674 × 73,674
4. Step 4: Simplify right side
   34,013x = 5,427,858,276
5. Step 5: Solve for x
   x = 5,427,858,276/34,013
6. Step 6: Final answer
   x = 159,581.87