Finding the Third Proportional to 36,814 and 57,408

Step by Step Solution

1. Step 1: Write the proportion equation
   36,814 : 57,408 = 57,408 : x
2. Step 2: Convert to fraction form
   36,814/57,408 = 57,408/x
3. Step 3: Cross multiply
   36,814x = 57,408 × 57,408
4. Step 4: Simplify right side
   36,814x = 3,295,678,464
5. Step 5: Solve for x
   x = 3,295,678,464/36,814
6. Step 6: Final answer
   x = 89,522.42