Finding the Third Proportional to 6,176 and 10,240

Step by Step Solution

1. Step 1: Write the proportion equation
   6,176 : 10,240 = 10,240 : x
2. Step 2: Convert to fraction form
   6,176/10,240 = 10,240/x
3. Step 3: Cross multiply
   6,176x = 10,240 × 10,240
4. Step 4: Simplify right side
   6,176x = 104,857,600
5. Step 5: Solve for x
   x = 104,857,600/6,176
6. Step 6: Final answer
   x = 16,978.24