Finding the Third Proportional to 23,142 and 49,800

Step by Step Solution

1. Step 1: Write the proportion equation
   23,142 : 49,800 = 49,800 : x
2. Step 2: Convert to fraction form
   23,142/49,800 = 49,800/x
3. Step 3: Cross multiply
   23,142x = 49,800 × 49,800
4. Step 4: Simplify right side
   23,142x = 2,480,040,000
5. Step 5: Solve for x
   x = 2,480,040,000/23,142
6. Step 6: Final answer
   x = 107,166.19