Finding the Third Proportional to 34,058 and 71,644

Step by Step Solution

1. Step 1: Write the proportion equation
   34,058 : 71,644 = 71,644 : x
2. Step 2: Convert to fraction form
   34,058/71,644 = 71,644/x
3. Step 3: Cross multiply
   34,058x = 71,644 × 71,644
4. Step 4: Simplify right side
   34,058x = 5,132,862,736
5. Step 5: Solve for x
   x = 5,132,862,736/34,058
6. Step 6: Final answer
   x = 150,709.46