Finding the Third Proportional to 20,544 and 30,634

Step by Step Solution

1. Step 1: Write the proportion equation
   20,544 : 30,634 = 30,634 : x
2. Step 2: Convert to fraction form
   20,544/30,634 = 30,634/x
3. Step 3: Cross multiply
   20,544x = 30,634 × 30,634
4. Step 4: Simplify right side
   20,544x = 938,441,956
5. Step 5: Solve for x
   x = 938,441,956/20,544
6. Step 6: Final answer
   x = 45,679.61