Finding the Third Proportional to 23,006 and 49,774

Step by Step Solution

1. Step 1: Write the proportion equation
   23,006 : 49,774 = 49,774 : x
2. Step 2: Convert to fraction form
   23,006/49,774 = 49,774/x
3. Step 3: Cross multiply
   23,006x = 49,774 × 49,774
4. Step 4: Simplify right side
   23,006x = 2,477,451,076
5. Step 5: Solve for x
   x = 2,477,451,076/23,006
6. Step 6: Final answer
   x = 107,687.17