Finding the Third Proportional to 10,296 and 14,180

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 14,180 = 14,180 : x
2. Step 2: Convert to fraction form
   10,296/14,180 = 14,180/x
3. Step 3: Cross multiply
   10,296x = 14,180 × 14,180
4. Step 4: Simplify right side
   10,296x = 201,072,400
5. Step 5: Solve for x
   x = 201,072,400/10,296
6. Step 6: Final answer
   x = 19,529.18