Finding the Third Proportional to 19,845 and 30,792

Step by Step Solution

1. Step 1: Write the proportion equation
   19,845 : 30,792 = 30,792 : x
2. Step 2: Convert to fraction form
   19,845/30,792 = 30,792/x
3. Step 3: Cross multiply
   19,845x = 30,792 × 30,792
4. Step 4: Simplify right side
   19,845x = 948,147,264
5. Step 5: Solve for x
   x = 948,147,264/19,845
6. Step 6: Final answer
   x = 47,777.64