Finding the Third Proportional to 10,500 and 16,259

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 16,259 = 16,259 : x
2. Step 2: Convert to fraction form
   10,500/16,259 = 16,259/x
3. Step 3: Cross multiply
   10,500x = 16,259 × 16,259
4. Step 4: Simplify right side
   10,500x = 264,355,081
5. Step 5: Solve for x
   x = 264,355,081/10,500
6. Step 6: Final answer
   x = 25,176.67