Finding the Third Proportional to 31,266 and 83,997

Step by Step Solution

1. Step 1: Write the proportion equation
   31,266 : 83,997 = 83,997 : x
2. Step 2: Convert to fraction form
   31,266/83,997 = 83,997/x
3. Step 3: Cross multiply
   31,266x = 83,997 × 83,997
4. Step 4: Simplify right side
   31,266x = 7,055,496,009
5. Step 5: Solve for x
   x = 7,055,496,009/31,266
6. Step 6: Final answer
   x = 225,660.33