Finding the Third Proportional to 23,116 and 49,499

Step by Step Solution

1. Step 1: Write the proportion equation
   23,116 : 49,499 = 49,499 : x
2. Step 2: Convert to fraction form
   23,116/49,499 = 49,499/x
3. Step 3: Cross multiply
   23,116x = 49,499 × 49,499
4. Step 4: Simplify right side
   23,116x = 2,450,151,001
5. Step 5: Solve for x
   x = 2,450,151,001/23,116
6. Step 6: Final answer
   x = 105,993.73