Finding the Third Proportional to 23,082 and 49,694.25

Step by Step Solution

1. Step 1: Write the proportion equation
   23,082 : 49,694.25 = 49,694.25 : x
2. Step 2: Convert to fraction form
   23,082/49,694.25 = 49,694.25/x
3. Step 3: Cross multiply
   23,082x = 49,694.25 × 49,694.25
4. Step 4: Simplify right side
   23,082x = 2,469,518,483.06
5. Step 5: Solve for x
   x = 2,469,518,483.06/23,082
6. Step 6: Final answer
   x = 106,988.93