Finding the Third Proportional to 34,058 and 72,238

Step by Step Solution

1. Step 1: Write the proportion equation
   34,058 : 72,238 = 72,238 : x
2. Step 2: Convert to fraction form
   34,058/72,238 = 72,238/x
3. Step 3: Cross multiply
   34,058x = 72,238 × 72,238
4. Step 4: Simplify right side
   34,058x = 5,218,328,644
5. Step 5: Solve for x
   x = 5,218,328,644/34,058
6. Step 6: Final answer
   x = 153,218.88