Finding the Third Proportional to 21,096 and 31,780

Step by Step Solution

1. Step 1: Write the proportion equation
   21,096 : 31,780 = 31,780 : x
2. Step 2: Convert to fraction form
   21,096/31,780 = 31,780/x
3. Step 3: Cross multiply
   21,096x = 31,780 × 31,780
4. Step 4: Simplify right side
   21,096x = 1,009,968,400
5. Step 5: Solve for x
   x = 1,009,968,400/21,096
6. Step 6: Final answer
   x = 47,874.88