Finding the Third Proportional to 23,091 and 49,827

Step by Step Solution

1. Step 1: Write the proportion equation
   23,091 : 49,827 = 49,827 : x
2. Step 2: Convert to fraction form
   23,091/49,827 = 49,827/x
3. Step 3: Cross multiply
   23,091x = 49,827 × 49,827
4. Step 4: Simplify right side
   23,091x = 2,482,729,929
5. Step 5: Solve for x
   x = 2,482,729,929/23,091
6. Step 6: Final answer
   x = 107,519.38