Finding the Third Proportional to 10,264 and 16,030

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264 : 16,030 = 16,030 : x
2. Step 2: Convert to fraction form
   10,264/16,030 = 16,030/x
3. Step 3: Cross multiply
   10,264x = 16,030 × 16,030
4. Step 4: Simplify right side
   10,264x = 256,960,900
5. Step 5: Solve for x
   x = 256,960,900/10,264
6. Step 6: Final answer
   x = 25,035.16