Finding the Third Proportional to 6,464 and 7,064

Step by Step Solution

1. Step 1: Write the proportion equation
   6,464 : 7,064 = 7,064 : x
2. Step 2: Convert to fraction form
   6,464/7,064 = 7,064/x
3. Step 3: Cross multiply
   6,464x = 7,064 × 7,064
4. Step 4: Simplify right side
   6,464x = 49,900,096
5. Step 5: Solve for x
   x = 49,900,096/6,464
6. Step 6: Final answer
   x = 7,719.69