Finding the Third Proportional to 23,082 and 49,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,082 : 49,363.50 = 49,363.50 : x
2. Step 2: Convert to fraction form
   23,082/49,363.50 = 49,363.50/x
3. Step 3: Cross multiply
   23,082x = 49,363.50 × 49,363.50
4. Step 4: Simplify right side
   23,082x = 2,436,755,132.25
5. Step 5: Solve for x
   x = 2,436,755,132.25/23,082
6. Step 6: Final answer
   x = 105,569.50