Finding the Third Proportional to 23,084 and 49,678

Step by Step Solution

1. Step 1: Write the proportion equation
   23,084 : 49,678 = 49,678 : x
2. Step 2: Convert to fraction form
   23,084/49,678 = 49,678/x
3. Step 3: Cross multiply
   23,084x = 49,678 × 49,678
4. Step 4: Simplify right side
   23,084x = 2,467,903,684
5. Step 5: Solve for x
   x = 2,467,903,684/23,084
6. Step 6: Final answer
   x = 106,909.71