Finding the Third Proportional to 9,352 and 17,408

Step by Step Solution

1. Step 1: Write the proportion equation
   9,352 : 17,408 = 17,408 : x
2. Step 2: Convert to fraction form
   9,352/17,408 = 17,408/x
3. Step 3: Cross multiply
   9,352x = 17,408 × 17,408
4. Step 4: Simplify right side
   9,352x = 303,038,464
5. Step 5: Solve for x
   x = 303,038,464/9,352
6. Step 6: Final answer
   x = 32,403.60