Finding the Third Proportional to 2,019.75 and 2,714.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.75 : 2,714.63 = 2,714.63 : x
2. Step 2: Convert to fraction form
   2,019.75/2,714.63 = 2,714.63/x
3. Step 3: Cross multiply
   2,019.75x = 2,714.63 × 2,714.63
4. Step 4: Simplify right side
   2,019.75x = 7,369,188.89
5. Step 5: Solve for x
   x = 7,369,188.89/2,019.75
6. Step 6: Final answer
   x = 3,648.56