Finding the Third Proportional to 6,442.50 and 8,064

Step by Step Solution

1. Step 1: Write the proportion equation
   6,442.50 : 8,064 = 8,064 : x
2. Step 2: Convert to fraction form
   6,442.50/8,064 = 8,064/x
3. Step 3: Cross multiply
   6,442.50x = 8,064 × 8,064
4. Step 4: Simplify right side
   6,442.50x = 65,028,096
5. Step 5: Solve for x
   x = 65,028,096/6,442.50
6. Step 6: Final answer
   x = 10,093.61