Finding the Third Proportional to 1,020.75 and 2,101.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.75 : 2,101.88 = 2,101.88 : x
2. Step 2: Convert to fraction form
   1,020.75/2,101.88 = 2,101.88/x
3. Step 3: Cross multiply
   1,020.75x = 2,101.88 × 2,101.88
4. Step 4: Simplify right side
   1,020.75x = 4,417,878.52
5. Step 5: Solve for x
   x = 4,417,878.52/1,020.75
6. Step 6: Final answer
   x = 4,328.07