Finding the Third Proportional to 12,296 and 16,028

Step by Step Solution

1. Step 1: Write the proportion equation
   12,296 : 16,028 = 16,028 : x
2. Step 2: Convert to fraction form
   12,296/16,028 = 16,028/x
3. Step 3: Cross multiply
   12,296x = 16,028 × 16,028
4. Step 4: Simplify right side
   12,296x = 256,896,784
5. Step 5: Solve for x
   x = 256,896,784/12,296
6. Step 6: Final answer
   x = 20,892.71