Finding the Third Proportional to 23,184 and 49,647

Step by Step Solution

1. Step 1: Write the proportion equation
   23,184 : 49,647 = 49,647 : x
2. Step 2: Convert to fraction form
   23,184/49,647 = 49,647/x
3. Step 3: Cross multiply
   23,184x = 49,647 × 49,647
4. Step 4: Simplify right side
   23,184x = 2,464,824,609
5. Step 5: Solve for x
   x = 2,464,824,609/23,184
6. Step 6: Final answer
   x = 106,315.76