Finding the Third Proportional to 22,738 and 49,212

Step by Step Solution

1. Step 1: Write the proportion equation
   22,738 : 49,212 = 49,212 : x
2. Step 2: Convert to fraction form
   22,738/49,212 = 49,212/x
3. Step 3: Cross multiply
   22,738x = 49,212 × 49,212
4. Step 4: Simplify right side
   22,738x = 2,421,820,944
5. Step 5: Solve for x
   x = 2,421,820,944/22,738
6. Step 6: Final answer
   x = 106,509.85