Finding the Third Proportional to 21,841 and 32,969

Step by Step Solution

1. Step 1: Write the proportion equation
   21,841 : 32,969 = 32,969 : x
2. Step 2: Convert to fraction form
   21,841/32,969 = 32,969/x
3. Step 3: Cross multiply
   21,841x = 32,969 × 32,969
4. Step 4: Simplify right side
   21,841x = 1,086,954,961
5. Step 5: Solve for x
   x = 1,086,954,961/21,841
6. Step 6: Final answer
   x = 49,766.72