Finding the Third Proportional to 37,408 and 57,495

Step by Step Solution

1. Step 1: Write the proportion equation
   37,408 : 57,495 = 57,495 : x
2. Step 2: Convert to fraction form
   37,408/57,495 = 57,495/x
3. Step 3: Cross multiply
   37,408x = 57,495 × 57,495
4. Step 4: Simplify right side
   37,408x = 3,305,675,025
5. Step 5: Solve for x
   x = 3,305,675,025/37,408
6. Step 6: Final answer
   x = 88,368.13