Finding the Third Proportional to 17,908 and 38,408

Step by Step Solution

1. Step 1: Write the proportion equation
   17,908 : 38,408 = 38,408 : x
2. Step 2: Convert to fraction form
   17,908/38,408 = 38,408/x
3. Step 3: Cross multiply
   17,908x = 38,408 × 38,408
4. Step 4: Simplify right side
   17,908x = 1,475,174,464
5. Step 5: Solve for x
   x = 1,475,174,464/17,908
6. Step 6: Final answer
   x = 82,375.17