Finding the Third Proportional to 23,858 and 51,514

Step by Step Solution

1. Step 1: Write the proportion equation
   23,858 : 51,514 = 51,514 : x
2. Step 2: Convert to fraction form
   23,858/51,514 = 51,514/x
3. Step 3: Cross multiply
   23,858x = 51,514 × 51,514
4. Step 4: Simplify right side
   23,858x = 2,653,692,196
5. Step 5: Solve for x
   x = 2,653,692,196/23,858
6. Step 6: Final answer
   x = 111,228.61