Finding the Third Proportional to 34,408 and 75,404

Step by Step Solution

1. Step 1: Write the proportion equation
   34,408 : 75,404 = 75,404 : x
2. Step 2: Convert to fraction form
   34,408/75,404 = 75,404/x
3. Step 3: Cross multiply
   34,408x = 75,404 × 75,404
4. Step 4: Simplify right side
   34,408x = 5,685,763,216
5. Step 5: Solve for x
   x = 5,685,763,216/34,408
6. Step 6: Final answer
   x = 165,245.39