Finding the Third Proportional to 22,299 and 30,578

Step by Step Solution

1. Step 1: Write the proportion equation
   22,299 : 30,578 = 30,578 : x
2. Step 2: Convert to fraction form
   22,299/30,578 = 30,578/x
3. Step 3: Cross multiply
   22,299x = 30,578 × 30,578
4. Step 4: Simplify right side
   22,299x = 935,014,084
5. Step 5: Solve for x
   x = 935,014,084/22,299
6. Step 6: Final answer
   x = 41,930.76