Finding the Third Proportional to 46,530 and 72,147

Step by Step Solution

1. Step 1: Write the proportion equation
   46,530 : 72,147 = 72,147 : x
2. Step 2: Convert to fraction form
   46,530/72,147 = 72,147/x
3. Step 3: Cross multiply
   46,530x = 72,147 × 72,147
4. Step 4: Simplify right side
   46,530x = 5,205,189,609
5. Step 5: Solve for x
   x = 5,205,189,609/46,530
6. Step 6: Final answer
   x = 111,867.39