Finding the Third Proportional to 21,488 and 31,827

Step by Step Solution

1. Step 1: Write the proportion equation
   21,488 : 31,827 = 31,827 : x
2. Step 2: Convert to fraction form
   21,488/31,827 = 31,827/x
3. Step 3: Cross multiply
   21,488x = 31,827 × 31,827
4. Step 4: Simplify right side
   21,488x = 1,012,957,929
5. Step 5: Solve for x
   x = 1,012,957,929/21,488
6. Step 6: Final answer
   x = 47,140.63