Finding the Third Proportional to 19,830 and 31,884

Step by Step Solution

1. Step 1: Write the proportion equation
   19,830 : 31,884 = 31,884 : x
2. Step 2: Convert to fraction form
   19,830/31,884 = 31,884/x
3. Step 3: Cross multiply
   19,830x = 31,884 × 31,884
4. Step 4: Simplify right side
   19,830x = 1,016,589,456
5. Step 5: Solve for x
   x = 1,016,589,456/19,830
6. Step 6: Final answer
   x = 51,265.23