Finding the Third Proportional to 39,530 and 57,814

Step by Step Solution

1. Step 1: Write the proportion equation
   39,530 : 57,814 = 57,814 : x
2. Step 2: Convert to fraction form
   39,530/57,814 = 57,814/x
3. Step 3: Cross multiply
   39,530x = 57,814 × 57,814
4. Step 4: Simplify right side
   39,530x = 3,342,458,596
5. Step 5: Solve for x
   x = 3,342,458,596/39,530
6. Step 6: Final answer
   x = 84,554.99