Finding the Third Proportional to 31,205 and 50,268

Step by Step Solution

1. Step 1: Write the proportion equation
   31,205 : 50,268 = 50,268 : x
2. Step 2: Convert to fraction form
   31,205/50,268 = 50,268/x
3. Step 3: Cross multiply
   31,205x = 50,268 × 50,268
4. Step 4: Simplify right side
   31,205x = 2,526,871,824
5. Step 5: Solve for x
   x = 2,526,871,824/31,205
6. Step 6: Final answer
   x = 80,976.50