Finding the Third Proportional to 23,458 and 51,524

Step by Step Solution

1. Step 1: Write the proportion equation
   23,458 : 51,524 = 51,524 : x
2. Step 2: Convert to fraction form
   23,458/51,524 = 51,524/x
3. Step 3: Cross multiply
   23,458x = 51,524 × 51,524
4. Step 4: Simplify right side
   23,458x = 2,654,722,576
5. Step 5: Solve for x
   x = 2,654,722,576/23,458
6. Step 6: Final answer
   x = 113,169.18