Finding the Third Proportional to 11,664 and 17,064

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664 : 17,064 = 17,064 : x
2. Step 2: Convert to fraction form
   11,664/17,064 = 17,064/x
3. Step 3: Cross multiply
   11,664x = 17,064 × 17,064
4. Step 4: Simplify right side
   11,664x = 291,180,096
5. Step 5: Solve for x
   x = 291,180,096/11,664
6. Step 6: Final answer
   x = 24,964