Finding the Third Proportional to 6,825 and 13,416

Step by Step Solution

1. Step 1: Write the proportion equation
   6,825 : 13,416 = 13,416 : x
2. Step 2: Convert to fraction form
   6,825/13,416 = 13,416/x
3. Step 3: Cross multiply
   6,825x = 13,416 × 13,416
4. Step 4: Simplify right side
   6,825x = 179,989,056
5. Step 5: Solve for x
   x = 179,989,056/6,825
6. Step 6: Final answer
   x = 26,372.02