Finding the Third Proportional to 34,174 and 73,458

Step by Step Solution

1. Step 1: Write the proportion equation
   34,174 : 73,458 = 73,458 : x
2. Step 2: Convert to fraction form
   34,174/73,458 = 73,458/x
3. Step 3: Cross multiply
   34,174x = 73,458 × 73,458
4. Step 4: Simplify right side
   34,174x = 5,396,077,764
5. Step 5: Solve for x
   x = 5,396,077,764/34,174
6. Step 6: Final answer
   x = 157,900.09