Finding the Third Proportional to 23,686 and 51,830

Step by Step Solution

1. Step 1: Write the proportion equation
   23,686 : 51,830 = 51,830 : x
2. Step 2: Convert to fraction form
   23,686/51,830 = 51,830/x
3. Step 3: Cross multiply
   23,686x = 51,830 × 51,830
4. Step 4: Simplify right side
   23,686x = 2,686,348,900
5. Step 5: Solve for x
   x = 2,686,348,900/23,686
6. Step 6: Final answer
   x = 113,415.05