Finding the Third Proportional to 23,089 and 50,338

Step by Step Solution

1. Step 1: Write the proportion equation
   23,089 : 50,338 = 50,338 : x
2. Step 2: Convert to fraction form
   23,089/50,338 = 50,338/x
3. Step 3: Cross multiply
   23,089x = 50,338 × 50,338
4. Step 4: Simplify right side
   23,089x = 2,533,914,244
5. Step 5: Solve for x
   x = 2,533,914,244/23,089
6. Step 6: Final answer
   x = 109,745.52