Finding the Third Proportional to 12,946 and 16,419

Step by Step Solution

1. Step 1: Write the proportion equation
   12,946 : 16,419 = 16,419 : x
2. Step 2: Convert to fraction form
   12,946/16,419 = 16,419/x
3. Step 3: Cross multiply
   12,946x = 16,419 × 16,419
4. Step 4: Simplify right side
   12,946x = 269,583,561
5. Step 5: Solve for x
   x = 269,583,561/12,946
6. Step 6: Final answer
   x = 20,823.70