Finding the Third Proportional to 23,149 and 49,814

Step by Step Solution

1. Step 1: Write the proportion equation
   23,149 : 49,814 = 49,814 : x
2. Step 2: Convert to fraction form
   23,149/49,814 = 49,814/x
3. Step 3: Cross multiply
   23,149x = 49,814 × 49,814
4. Step 4: Simplify right side
   23,149x = 2,481,434,596
5. Step 5: Solve for x
   x = 2,481,434,596/23,149
6. Step 6: Final answer
   x = 107,194.03