Finding the Third Proportional to 6,458 and 10,265

Step by Step Solution

1. Step 1: Write the proportion equation
   6,458 : 10,265 = 10,265 : x
2. Step 2: Convert to fraction form
   6,458/10,265 = 10,265/x
3. Step 3: Cross multiply
   6,458x = 10,265 × 10,265
4. Step 4: Simplify right side
   6,458x = 105,370,225
5. Step 5: Solve for x
   x = 105,370,225/6,458
6. Step 6: Final answer
   x = 16,316.23