Finding the Third Proportional to 50,530 and 76,430

Step by Step Solution

1. Step 1: Write the proportion equation
   50,530 : 76,430 = 76,430 : x
2. Step 2: Convert to fraction form
   50,530/76,430 = 76,430/x
3. Step 3: Cross multiply
   50,530x = 76,430 × 76,430
4. Step 4: Simplify right side
   50,530x = 5,841,544,900
5. Step 5: Solve for x
   x = 5,841,544,900/50,530
6. Step 6: Final answer
   x = 115,605.48