Finding the Third Proportional to 13,664 and 17,784

Step by Step Solution

1. Step 1: Write the proportion equation
   13,664 : 17,784 = 17,784 : x
2. Step 2: Convert to fraction form
   13,664/17,784 = 17,784/x
3. Step 3: Cross multiply
   13,664x = 17,784 × 17,784
4. Step 4: Simplify right side
   13,664x = 316,270,656
5. Step 5: Solve for x
   x = 316,270,656/13,664
6. Step 6: Final answer
   x = 23,146.27