Finding the Third Proportional to 2,628.75 and 5,538.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,628.75 : 5,538.75 = 5,538.75 : x
2. Step 2: Convert to fraction form
   2,628.75/5,538.75 = 5,538.75/x
3. Step 3: Cross multiply
   2,628.75x = 5,538.75 × 5,538.75
4. Step 4: Simplify right side
   2,628.75x = 30,677,751.56
5. Step 5: Solve for x
   x = 30,677,751.56/2,628.75
6. Step 6: Final answer
   x = 11,670.09