Finding the Third Proportional to 23,091 and 49,874

Step by Step Solution

1. Step 1: Write the proportion equation
   23,091 : 49,874 = 49,874 : x
2. Step 2: Convert to fraction form
   23,091/49,874 = 49,874/x
3. Step 3: Cross multiply
   23,091x = 49,874 × 49,874
4. Step 4: Simplify right side
   23,091x = 2,487,415,876
5. Step 5: Solve for x
   x = 2,487,415,876/23,091
6. Step 6: Final answer
   x = 107,722.31