Finding the Third Proportional to 21,578 and 31,789

Step by Step Solution

1. Step 1: Write the proportion equation
   21,578 : 31,789 = 31,789 : x
2. Step 2: Convert to fraction form
   21,578/31,789 = 31,789/x
3. Step 3: Cross multiply
   21,578x = 31,789 × 31,789
4. Step 4: Simplify right side
   21,578x = 1,010,540,521
5. Step 5: Solve for x
   x = 1,010,540,521/21,578
6. Step 6: Final answer
   x = 46,831.98