Finding the Third Proportional to 10,296 and 12,360

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 12,360 = 12,360 : x
2. Step 2: Convert to fraction form
   10,296/12,360 = 12,360/x
3. Step 3: Cross multiply
   10,296x = 12,360 × 12,360
4. Step 4: Simplify right side
   10,296x = 152,769,600
5. Step 5: Solve for x
   x = 152,769,600/10,296
6. Step 6: Final answer
   x = 14,837.76