Finding the Third Proportional to 6,496 and 10,077

Step by Step Solution

1. Step 1: Write the proportion equation
   6,496 : 10,077 = 10,077 : x
2. Step 2: Convert to fraction form
   6,496/10,077 = 10,077/x
3. Step 3: Cross multiply
   6,496x = 10,077 × 10,077
4. Step 4: Simplify right side
   6,496x = 101,545,929
5. Step 5: Solve for x
   x = 101,545,929/6,496
6. Step 6: Final answer
   x = 15,632.07