Finding the Third Proportional to 2,628.07 and 5,646.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,628.07 : 5,646.59 = 5,646.59 : x
2. Step 2: Convert to fraction form
   2,628.07/5,646.59 = 5,646.59/x
3. Step 3: Cross multiply
   2,628.07x = 5,646.59 × 5,646.59
4. Step 4: Simplify right side
   2,628.07x = 31,883,932.75
5. Step 5: Solve for x
   x = 31,883,932.75/2,628.07
6. Step 6: Final answer
   x = 12,132.07