Finding the Third Proportional to 10,536 and 16,260

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536 : 16,260 = 16,260 : x
2. Step 2: Convert to fraction form
   10,536/16,260 = 16,260/x
3. Step 3: Cross multiply
   10,536x = 16,260 × 16,260
4. Step 4: Simplify right side
   10,536x = 264,387,600
5. Step 5: Solve for x
   x = 264,387,600/10,536
6. Step 6: Final answer
   x = 25,093.74