Finding the Third Proportional to 8,144 and 12,946

Step by Step Solution

1. Step 1: Write the proportion equation
   8,144 : 12,946 = 12,946 : x
2. Step 2: Convert to fraction form
   8,144/12,946 = 12,946/x
3. Step 3: Cross multiply
   8,144x = 12,946 × 12,946
4. Step 4: Simplify right side
   8,144x = 167,598,916
5. Step 5: Solve for x
   x = 167,598,916/8,144
6. Step 6: Final answer
   x = 20,579.43