Finding the Third Proportional to 19,538 and 30,278

Step by Step Solution

1. Step 1: Write the proportion equation
   19,538 : 30,278 = 30,278 : x
2. Step 2: Convert to fraction form
   19,538/30,278 = 30,278/x
3. Step 3: Cross multiply
   19,538x = 30,278 × 30,278
4. Step 4: Simplify right side
   19,538x = 916,757,284
5. Step 5: Solve for x
   x = 916,757,284/19,538
6. Step 6: Final answer
   x = 46,921.76