Finding the Third Proportional to 6,544 and 13,640

Step by Step Solution

1. Step 1: Write the proportion equation
   6,544 : 13,640 = 13,640 : x
2. Step 2: Convert to fraction form
   6,544/13,640 = 13,640/x
3. Step 3: Cross multiply
   6,544x = 13,640 × 13,640
4. Step 4: Simplify right side
   6,544x = 186,049,600
5. Step 5: Solve for x
   x = 186,049,600/6,544
6. Step 6: Final answer
   x = 28,430.56