Finding the Third Proportional to 22,842 and 49,077

Step by Step Solution

1. Step 1: Write the proportion equation
   22,842 : 49,077 = 49,077 : x
2. Step 2: Convert to fraction form
   22,842/49,077 = 49,077/x
3. Step 3: Cross multiply
   22,842x = 49,077 × 49,077
4. Step 4: Simplify right side
   22,842x = 2,408,551,929
5. Step 5: Solve for x
   x = 2,408,551,929/22,842
6. Step 6: Final answer
   x = 105,444.00