Finding the Third Proportional to 10,224 and 16,262

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 16,262 = 16,262 : x
2. Step 2: Convert to fraction form
   10,224/16,262 = 16,262/x
3. Step 3: Cross multiply
   10,224x = 16,262 × 16,262
4. Step 4: Simplify right side
   10,224x = 264,452,644
5. Step 5: Solve for x
   x = 264,452,644/10,224
6. Step 6: Final answer
   x = 25,865.87