Finding the Third Proportional to 21,841 and 32,942

Step by Step Solution

1. Step 1: Write the proportion equation
   21,841 : 32,942 = 32,942 : x
2. Step 2: Convert to fraction form
   21,841/32,942 = 32,942/x
3. Step 3: Cross multiply
   21,841x = 32,942 × 32,942
4. Step 4: Simplify right side
   21,841x = 1,085,175,364
5. Step 5: Solve for x
   x = 1,085,175,364/21,841
6. Step 6: Final answer
   x = 49,685.24