Finding the Third Proportional to 10,767 and 16,632

Step by Step Solution

1. Step 1: Write the proportion equation
   10,767 : 16,632 = 16,632 : x
2. Step 2: Convert to fraction form
   10,767/16,632 = 16,632/x
3. Step 3: Cross multiply
   10,767x = 16,632 × 16,632
4. Step 4: Simplify right side
   10,767x = 276,623,424
5. Step 5: Solve for x
   x = 276,623,424/10,767
6. Step 6: Final answer
   x = 25,691.78