Finding the Third Proportional to 1,758.75 and 2,408.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,758.75 : 2,408.63 = 2,408.63 : x
2. Step 2: Convert to fraction form
   1,758.75/2,408.63 = 2,408.63/x
3. Step 3: Cross multiply
   1,758.75x = 2,408.63 × 2,408.63
4. Step 4: Simplify right side
   1,758.75x = 5,801,474.39
5. Step 5: Solve for x
   x = 5,801,474.39/1,758.75
6. Step 6: Final answer
   x = 3,298.64