Finding the Third Proportional to 10,408 and 18,508

Step by Step Solution

1. Step 1: Write the proportion equation
   10,408 : 18,508 = 18,508 : x
2. Step 2: Convert to fraction form
   10,408/18,508 = 18,508/x
3. Step 3: Cross multiply
   10,408x = 18,508 × 18,508
4. Step 4: Simplify right side
   10,408x = 342,546,064
5. Step 5: Solve for x
   x = 342,546,064/10,408
6. Step 6: Final answer
   x = 32,911.80