Finding the Third Proportional to 21,782.25 and 30,675

Step by Step Solution

1. Step 1: Write the proportion equation
   21,782.25 : 30,675 = 30,675 : x
2. Step 2: Convert to fraction form
   21,782.25/30,675 = 30,675/x
3. Step 3: Cross multiply
   21,782.25x = 30,675 × 30,675
4. Step 4: Simplify right side
   21,782.25x = 940,955,625
5. Step 5: Solve for x
   x = 940,955,625/21,782.25
6. Step 6: Final answer
   x = 43,198.27