Finding the Third Proportional to 22,814 and 49,036

Step by Step Solution

1. Step 1: Write the proportion equation
   22,814 : 49,036 = 49,036 : x
2. Step 2: Convert to fraction form
   22,814/49,036 = 49,036/x
3. Step 3: Cross multiply
   22,814x = 49,036 × 49,036
4. Step 4: Simplify right side
   22,814x = 2,404,529,296
5. Step 5: Solve for x
   x = 2,404,529,296/22,814
6. Step 6: Final answer
   x = 105,397.09