Finding the Third Proportional to 10,592 and 13,664

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592 : 13,664 = 13,664 : x
2. Step 2: Convert to fraction form
   10,592/13,664 = 13,664/x
3. Step 3: Cross multiply
   10,592x = 13,664 × 13,664
4. Step 4: Simplify right side
   10,592x = 186,704,896
5. Step 5: Solve for x
   x = 186,704,896/10,592
6. Step 6: Final answer
   x = 17,626.97