Finding the Third Proportional to 10,176 and 12,912

Step by Step Solution

1. Step 1: Write the proportion equation
   10,176 : 12,912 = 12,912 : x
2. Step 2: Convert to fraction form
   10,176/12,912 = 12,912/x
3. Step 3: Cross multiply
   10,176x = 12,912 × 12,912
4. Step 4: Simplify right side
   10,176x = 166,719,744
5. Step 5: Solve for x
   x = 166,719,744/10,176
6. Step 6: Final answer
   x = 16,383.62