Finding the Third Proportional to 21,096 and 31,779

Step by Step Solution

1. Step 1: Write the proportion equation
   21,096 : 31,779 = 31,779 : x
2. Step 2: Convert to fraction form
   21,096/31,779 = 31,779/x
3. Step 3: Cross multiply
   21,096x = 31,779 × 31,779
4. Step 4: Simplify right side
   21,096x = 1,009,904,841
5. Step 5: Solve for x
   x = 1,009,904,841/21,096
6. Step 6: Final answer
   x = 47,871.86