Finding the Third Proportional to 21,828 and 31,986

Step by Step Solution

1. Step 1: Write the proportion equation
   21,828 : 31,986 = 31,986 : x
2. Step 2: Convert to fraction form
   21,828/31,986 = 31,986/x
3. Step 3: Cross multiply
   21,828x = 31,986 × 31,986
4. Step 4: Simplify right side
   21,828x = 1,023,104,196
5. Step 5: Solve for x
   x = 1,023,104,196/21,828
6. Step 6: Final answer
   x = 46,871.18