Finding the Third Proportional to 10,256 and 14,506

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256 : 14,506 = 14,506 : x
2. Step 2: Convert to fraction form
   10,256/14,506 = 14,506/x
3. Step 3: Cross multiply
   10,256x = 14,506 × 14,506
4. Step 4: Simplify right side
   10,256x = 210,424,036
5. Step 5: Solve for x
   x = 210,424,036/10,256
6. Step 6: Final answer
   x = 20,517.16