Finding the Third Proportional to 8,644 and 13,540

Step by Step Solution

1. Step 1: Write the proportion equation
   8,644 : 13,540 = 13,540 : x
2. Step 2: Convert to fraction form
   8,644/13,540 = 13,540/x
3. Step 3: Cross multiply
   8,644x = 13,540 × 13,540
4. Step 4: Simplify right side
   8,644x = 183,331,600
5. Step 5: Solve for x
   x = 183,331,600/8,644
6. Step 6: Final answer
   x = 21,209.12