Finding the Third Proportional to 21,978 and 50,085

Step by Step Solution

1. Step 1: Write the proportion equation
   21,978 : 50,085 = 50,085 : x
2. Step 2: Convert to fraction form
   21,978/50,085 = 50,085/x
3. Step 3: Cross multiply
   21,978x = 50,085 × 50,085
4. Step 4: Simplify right side
   21,978x = 2,508,507,225
5. Step 5: Solve for x
   x = 2,508,507,225/21,978
6. Step 6: Final answer
   x = 114,137.19