Finding the Third Proportional to 22,940 and 49,582

Step by Step Solution

1. Step 1: Write the proportion equation
   22,940 : 49,582 = 49,582 : x
2. Step 2: Convert to fraction form
   22,940/49,582 = 49,582/x
3. Step 3: Cross multiply
   22,940x = 49,582 × 49,582
4. Step 4: Simplify right side
   22,940x = 2,458,374,724
5. Step 5: Solve for x
   x = 2,458,374,724/22,940
6. Step 6: Final answer
   x = 107,165.42