Finding the Third Proportional to 19,768 and 30,576

Step by Step Solution

1. Step 1: Write the proportion equation
   19,768 : 30,576 = 30,576 : x
2. Step 2: Convert to fraction form
   19,768/30,576 = 30,576/x
3. Step 3: Cross multiply
   19,768x = 30,576 × 30,576
4. Step 4: Simplify right side
   19,768x = 934,891,776
5. Step 5: Solve for x
   x = 934,891,776/19,768
6. Step 6: Final answer
   x = 47,293.19