Finding the Third Proportional to 6,625 and 12,182

Step by Step Solution

1. Step 1: Write the proportion equation
   6,625 : 12,182 = 12,182 : x
2. Step 2: Convert to fraction form
   6,625/12,182 = 12,182/x
3. Step 3: Cross multiply
   6,625x = 12,182 × 12,182
4. Step 4: Simplify right side
   6,625x = 148,401,124
5. Step 5: Solve for x
   x = 148,401,124/6,625
6. Step 6: Final answer
   x = 22,400.17