Finding the Third Proportional to 22,182 and 49,296

Step by Step Solution

1. Step 1: Write the proportion equation
   22,182 : 49,296 = 49,296 : x
2. Step 2: Convert to fraction form
   22,182/49,296 = 49,296/x
3. Step 3: Cross multiply
   22,182x = 49,296 × 49,296
4. Step 4: Simplify right side
   22,182x = 2,430,095,616
5. Step 5: Solve for x
   x = 2,430,095,616/22,182
6. Step 6: Final answer
   x = 109,552.59