Finding the Third Proportional to 10,152 and 16,064

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 16,064 = 16,064 : x
2. Step 2: Convert to fraction form
   10,152/16,064 = 16,064/x
3. Step 3: Cross multiply
   10,152x = 16,064 × 16,064
4. Step 4: Simplify right side
   10,152x = 258,052,096
5. Step 5: Solve for x
   x = 258,052,096/10,152
6. Step 6: Final answer
   x = 25,418.84