Finding the Third Proportional to 3,408.75 and 3,742.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,408.75 : 3,742.88 = 3,742.88 : x
2. Step 2: Convert to fraction form
   3,408.75/3,742.88 = 3,742.88/x
3. Step 3: Cross multiply
   3,408.75x = 3,742.88 × 3,742.88
4. Step 4: Simplify right side
   3,408.75x = 14,009,113.27
5. Step 5: Solve for x
   x = 14,009,113.27/3,408.75
6. Step 6: Final answer
   x = 4,109.75