Finding the Third Proportional to 10,267 and 16,322

Step by Step Solution

1. Step 1: Write the proportion equation
   10,267 : 16,322 = 16,322 : x
2. Step 2: Convert to fraction form
   10,267/16,322 = 16,322/x
3. Step 3: Cross multiply
   10,267x = 16,322 × 16,322
4. Step 4: Simplify right side
   10,267x = 266,407,684
5. Step 5: Solve for x
   x = 266,407,684/10,267
6. Step 6: Final answer
   x = 25,947.96