Finding the Third Proportional to 34,208 and 71,104

Step by Step Solution

1. Step 1: Write the proportion equation
   34,208 : 71,104 = 71,104 : x
2. Step 2: Convert to fraction form
   34,208/71,104 = 71,104/x
3. Step 3: Cross multiply
   34,208x = 71,104 × 71,104
4. Step 4: Simplify right side
   34,208x = 5,055,778,816
5. Step 5: Solve for x
   x = 5,055,778,816/34,208
6. Step 6: Final answer
   x = 147,795.22