Finding the Third Proportional to 21,874 and 32,806

Step by Step Solution

1. Step 1: Write the proportion equation
   21,874 : 32,806 = 32,806 : x
2. Step 2: Convert to fraction form
   21,874/32,806 = 32,806/x
3. Step 3: Cross multiply
   21,874x = 32,806 × 32,806
4. Step 4: Simplify right side
   21,874x = 1,076,233,636
5. Step 5: Solve for x
   x = 1,076,233,636/21,874
6. Step 6: Final answer
   x = 49,201.50