Finding the Third Proportional to 30,879 and 49,174

Step by Step Solution

1. Step 1: Write the proportion equation
   30,879 : 49,174 = 49,174 : x
2. Step 2: Convert to fraction form
   30,879/49,174 = 49,174/x
3. Step 3: Cross multiply
   30,879x = 49,174 × 49,174
4. Step 4: Simplify right side
   30,879x = 2,418,082,276
5. Step 5: Solve for x
   x = 2,418,082,276/30,879
6. Step 6: Final answer
   x = 78,308.31