Finding the Third Proportional to 21,645 and 31,689

Step by Step Solution

1. Step 1: Write the proportion equation
   21,645 : 31,689 = 31,689 : x
2. Step 2: Convert to fraction form
   21,645/31,689 = 31,689/x
3. Step 3: Cross multiply
   21,645x = 31,689 × 31,689
4. Step 4: Simplify right side
   21,645x = 1,004,192,721
5. Step 5: Solve for x
   x = 1,004,192,721/21,645
6. Step 6: Final answer
   x = 46,393.75