Finding the Third Proportional to 2,886.75 and 4,128.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,886.75 : 4,128.25 = 4,128.25 : x
2. Step 2: Convert to fraction form
   2,886.75/4,128.25 = 4,128.25/x
3. Step 3: Cross multiply
   2,886.75x = 4,128.25 × 4,128.25
4. Step 4: Simplify right side
   2,886.75x = 17,042,448.06
5. Step 5: Solve for x
   x = 17,042,448.06/2,886.75
6. Step 6: Final answer
   x = 5,903.68