Finding the Third Proportional to 34,024 and 72,404

Step by Step Solution

1. Step 1: Write the proportion equation
   34,024 : 72,404 = 72,404 : x
2. Step 2: Convert to fraction form
   34,024/72,404 = 72,404/x
3. Step 3: Cross multiply
   34,024x = 72,404 × 72,404
4. Step 4: Simplify right side
   34,024x = 5,242,339,216
5. Step 5: Solve for x
   x = 5,242,339,216/34,024
6. Step 6: Final answer
   x = 154,077.69