Finding the Third Proportional to 6,400 and 7,456

Step by Step Solution

1. Step 1: Write the proportion equation
   6,400 : 7,456 = 7,456 : x
2. Step 2: Convert to fraction form
   6,400/7,456 = 7,456/x
3. Step 3: Cross multiply
   6,400x = 7,456 × 7,456
4. Step 4: Simplify right side
   6,400x = 55,591,936
5. Step 5: Solve for x
   x = 55,591,936/6,400
6. Step 6: Final answer
   x = 8,686.24