Finding the Third Proportional to 10,146 and 16,208

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146 : 16,208 = 16,208 : x
2. Step 2: Convert to fraction form
   10,146/16,208 = 16,208/x
3. Step 3: Cross multiply
   10,146x = 16,208 × 16,208
4. Step 4: Simplify right side
   10,146x = 262,699,264
5. Step 5: Solve for x
   x = 262,699,264/10,146
6. Step 6: Final answer
   x = 25,891.90