Finding the Third Proportional to 3,564.56 and 7,628.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,564.56 : 7,628.63 = 7,628.63 : x
2. Step 2: Convert to fraction form
   3,564.56/7,628.63 = 7,628.63/x
3. Step 3: Cross multiply
   3,564.56x = 7,628.63 × 7,628.63
4. Step 4: Simplify right side
   3,564.56x = 58,195,919.39
5. Step 5: Solve for x
   x = 58,195,919.39/3,564.56
6. Step 6: Final answer
   x = 16,326.24