Finding the Third Proportional to 2,128.78 and 2,976.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,128.78 : 2,976.75 = 2,976.75 : x
2. Step 2: Convert to fraction form
   2,128.78/2,976.75 = 2,976.75/x
3. Step 3: Cross multiply
   2,128.78x = 2,976.75 × 2,976.75
4. Step 4: Simplify right side
   2,128.78x = 8,861,040.56
5. Step 5: Solve for x
   x = 8,861,040.56/2,128.78
6. Step 6: Final answer
   x = 4,162.49