Finding the Third Proportional to 34,004 and 72,049

Step by Step Solution

1. Step 1: Write the proportion equation
   34,004 : 72,049 = 72,049 : x
2. Step 2: Convert to fraction form
   34,004/72,049 = 72,049/x
3. Step 3: Cross multiply
   34,004x = 72,049 × 72,049
4. Step 4: Simplify right side
   34,004x = 5,191,058,401
5. Step 5: Solve for x
   x = 5,191,058,401/34,004
6. Step 6: Final answer
   x = 152,660.23