Finding the Third Proportional to 23,096 and 48,514

Step by Step Solution

1. Step 1: Write the proportion equation
   23,096 : 48,514 = 48,514 : x
2. Step 2: Convert to fraction form
   23,096/48,514 = 48,514/x
3. Step 3: Cross multiply
   23,096x = 48,514 × 48,514
4. Step 4: Simplify right side
   23,096x = 2,353,608,196
5. Step 5: Solve for x
   x = 2,353,608,196/23,096
6. Step 6: Final answer
   x = 101,905.45