Finding the Third Proportional to 10,770 and 16,426

Step by Step Solution

1. Step 1: Write the proportion equation
   10,770 : 16,426 = 16,426 : x
2. Step 2: Convert to fraction form
   10,770/16,426 = 16,426/x
3. Step 3: Cross multiply
   10,770x = 16,426 × 16,426
4. Step 4: Simplify right side
   10,770x = 269,813,476
5. Step 5: Solve for x
   x = 269,813,476/10,770
6. Step 6: Final answer
   x = 25,052.32