Finding the Third Proportional to 13,664 and 21,727

Step by Step Solution

1. Step 1: Write the proportion equation
   13,664 : 21,727 = 21,727 : x
2. Step 2: Convert to fraction form
   13,664/21,727 = 21,727/x
3. Step 3: Cross multiply
   13,664x = 21,727 × 21,727
4. Step 4: Simplify right side
   13,664x = 472,062,529
5. Step 5: Solve for x
   x = 472,062,529/13,664
6. Step 6: Final answer
   x = 34,547.90