Finding the Third Proportional to 23,380 and 50,647

Step by Step Solution

1. Step 1: Write the proportion equation
   23,380 : 50,647 = 50,647 : x
2. Step 2: Convert to fraction form
   23,380/50,647 = 50,647/x
3. Step 3: Cross multiply
   23,380x = 50,647 × 50,647
4. Step 4: Simplify right side
   23,380x = 2,565,118,609
5. Step 5: Solve for x
   x = 2,565,118,609/23,380
6. Step 6: Final answer
   x = 109,714.23