Finding the Third Proportional to 23,099 and 49,891

Step by Step Solution

1. Step 1: Write the proportion equation
   23,099 : 49,891 = 49,891 : x
2. Step 2: Convert to fraction form
   23,099/49,891 = 49,891/x
3. Step 3: Cross multiply
   23,099x = 49,891 × 49,891
4. Step 4: Simplify right side
   23,099x = 2,489,111,881
5. Step 5: Solve for x
   x = 2,489,111,881/23,099
6. Step 6: Final answer
   x = 107,758.43