Finding the Third Proportional to 6,544 and 13,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,544 : 13,434.50 = 13,434.50 : x
2. Step 2: Convert to fraction form
   6,544/13,434.50 = 13,434.50/x
3. Step 3: Cross multiply
   6,544x = 13,434.50 × 13,434.50
4. Step 4: Simplify right side
   6,544x = 180,485,790.25
5. Step 5: Solve for x
   x = 180,485,790.25/6,544
6. Step 6: Final answer
   x = 27,580.35