Finding the Third Proportional to 1,023.75 and 2,107.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.75 : 2,107.88 = 2,107.88 : x
2. Step 2: Convert to fraction form
   1,023.75/2,107.88 = 2,107.88/x
3. Step 3: Cross multiply
   1,023.75x = 2,107.88 × 2,107.88
4. Step 4: Simplify right side
   1,023.75x = 4,443,137.02
5. Step 5: Solve for x
   x = 4,443,137.02/1,023.75
6. Step 6: Final answer
   x = 4,340.06