Finding the Third Proportional to 21,578 and 31,647

Step by Step Solution

1. Step 1: Write the proportion equation
   21,578 : 31,647 = 31,647 : x
2. Step 2: Convert to fraction form
   21,578/31,647 = 31,647/x
3. Step 3: Cross multiply
   21,578x = 31,647 × 31,647
4. Step 4: Simplify right side
   21,578x = 1,001,532,609
5. Step 5: Solve for x
   x = 1,001,532,609/21,578
6. Step 6: Final answer
   x = 46,414.52