Finding the Third Proportional to 34,180 and 71,816

Step by Step Solution

1. Step 1: Write the proportion equation
   34,180 : 71,816 = 71,816 : x
2. Step 2: Convert to fraction form
   34,180/71,816 = 71,816/x
3. Step 3: Cross multiply
   34,180x = 71,816 × 71,816
4. Step 4: Simplify right side
   34,180x = 5,157,537,856
5. Step 5: Solve for x
   x = 5,157,537,856/34,180
6. Step 6: Final answer
   x = 150,893.44