Finding the Third Proportional to 22,740 and 49,216

Step by Step Solution

1. Step 1: Write the proportion equation
   22,740 : 49,216 = 49,216 : x
2. Step 2: Convert to fraction form
   22,740/49,216 = 49,216/x
3. Step 3: Cross multiply
   22,740x = 49,216 × 49,216
4. Step 4: Simplify right side
   22,740x = 2,422,214,656
5. Step 5: Solve for x
   x = 2,422,214,656/22,740
6. Step 6: Final answer
   x = 106,517.79