Finding the Third Proportional to 21,777 and 31,825

Step by Step Solution

1. Step 1: Write the proportion equation
   21,777 : 31,825 = 31,825 : x
2. Step 2: Convert to fraction form
   21,777/31,825 = 31,825/x
3. Step 3: Cross multiply
   21,777x = 31,825 × 31,825
4. Step 4: Simplify right side
   21,777x = 1,012,830,625
5. Step 5: Solve for x
   x = 1,012,830,625/21,777
6. Step 6: Final answer
   x = 46,509.19