Finding the Third Proportional to 2,628.75 and 5,776.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,628.75 : 5,776.13 = 5,776.13 : x
2. Step 2: Convert to fraction form
   2,628.75/5,776.13 = 5,776.13/x
3. Step 3: Cross multiply
   2,628.75x = 5,776.13 × 5,776.13
4. Step 4: Simplify right side
   2,628.75x = 33,363,620.02
5. Step 5: Solve for x
   x = 33,363,620.02/2,628.75
6. Step 6: Final answer
   x = 12,691.82