Finding the Third Proportional to 10,456 and 14,012

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456 : 14,012 = 14,012 : x
2. Step 2: Convert to fraction form
   10,456/14,012 = 14,012/x
3. Step 3: Cross multiply
   10,456x = 14,012 × 14,012
4. Step 4: Simplify right side
   10,456x = 196,336,144
5. Step 5: Solve for x
   x = 196,336,144/10,456
6. Step 6: Final answer
   x = 18,777.37