Finding the Third Proportional to 10,649 and 16,851

Step by Step Solution

1. Step 1: Write the proportion equation
   10,649 : 16,851 = 16,851 : x
2. Step 2: Convert to fraction form
   10,649/16,851 = 16,851/x
3. Step 3: Cross multiply
   10,649x = 16,851 × 16,851
4. Step 4: Simplify right side
   10,649x = 283,956,201
5. Step 5: Solve for x
   x = 283,956,201/10,649
6. Step 6: Final answer
   x = 26,665.06