Finding the Third Proportional to 8,864 and 10,064

Step by Step Solution

1. Step 1: Write the proportion equation
   8,864 : 10,064 = 10,064 : x
2. Step 2: Convert to fraction form
   8,864/10,064 = 10,064/x
3. Step 3: Cross multiply
   8,864x = 10,064 × 10,064
4. Step 4: Simplify right side
   8,864x = 101,284,096
5. Step 5: Solve for x
   x = 101,284,096/8,864
6. Step 6: Final answer
   x = 11,426.45