Finding the Third Proportional to 6,456 and 7,056

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456 : 7,056 = 7,056 : x
2. Step 2: Convert to fraction form
   6,456/7,056 = 7,056/x
3. Step 3: Cross multiply
   6,456x = 7,056 × 7,056
4. Step 4: Simplify right side
   6,456x = 49,787,136
5. Step 5: Solve for x
   x = 49,787,136/6,456
6. Step 6: Final answer
   x = 7,711.76