Finding the Third Proportional to 2,023.88 and 3,205.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,023.88 : 3,205.69 = 3,205.69 : x
2. Step 2: Convert to fraction form
   2,023.88/3,205.69 = 3,205.69/x
3. Step 3: Cross multiply
   2,023.88x = 3,205.69 × 3,205.69
4. Step 4: Simplify right side
   2,023.88x = 10,276,432.35
5. Step 5: Solve for x
   x = 10,276,432.35/2,023.88
6. Step 6: Final answer
   x = 5,077.60