Finding the Third Proportional to 6,574 and 10,408

Step by Step Solution

1. Step 1: Write the proportion equation
   6,574 : 10,408 = 10,408 : x
2. Step 2: Convert to fraction form
   6,574/10,408 = 10,408/x
3. Step 3: Cross multiply
   6,574x = 10,408 × 10,408
4. Step 4: Simplify right side
   6,574x = 108,326,464
5. Step 5: Solve for x
   x = 108,326,464/6,574
6. Step 6: Final answer
   x = 16,478.01