Finding the Third Proportional to 17,408 and 38,096

Step by Step Solution

1. Step 1: Write the proportion equation
   17,408 : 38,096 = 38,096 : x
2. Step 2: Convert to fraction form
   17,408/38,096 = 38,096/x
3. Step 3: Cross multiply
   17,408x = 38,096 × 38,096
4. Step 4: Simplify right side
   17,408x = 1,451,305,216
5. Step 5: Solve for x
   x = 1,451,305,216/17,408
6. Step 6: Final answer
   x = 83,370.01