Finding the Third Proportional to 10,776 and 16,204

Step by Step Solution

1. Step 1: Write the proportion equation
   10,776 : 16,204 = 16,204 : x
2. Step 2: Convert to fraction form
   10,776/16,204 = 16,204/x
3. Step 3: Cross multiply
   10,776x = 16,204 × 16,204
4. Step 4: Simplify right side
   10,776x = 262,569,616
5. Step 5: Solve for x
   x = 262,569,616/10,776
6. Step 6: Final answer
   x = 24,366.15