Finding the Third Proportional to 10,456 and 16,306

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456 : 16,306 = 16,306 : x
2. Step 2: Convert to fraction form
   10,456/16,306 = 16,306/x
3. Step 3: Cross multiply
   10,456x = 16,306 × 16,306
4. Step 4: Simplify right side
   10,456x = 265,885,636
5. Step 5: Solve for x
   x = 265,885,636/10,456
6. Step 6: Final answer
   x = 25,429.00