Finding the Third Proportional to 23,530 and 51,666

Step by Step Solution

1. Step 1: Write the proportion equation
   23,530 : 51,666 = 51,666 : x
2. Step 2: Convert to fraction form
   23,530/51,666 = 51,666/x
3. Step 3: Cross multiply
   23,530x = 51,666 × 51,666
4. Step 4: Simplify right side
   23,530x = 2,669,375,556
5. Step 5: Solve for x
   x = 2,669,375,556/23,530
6. Step 6: Final answer
   x = 113,445.62