Finding the Third Proportional to 21,882 and 32,843

Step by Step Solution

1. Step 1: Write the proportion equation
   21,882 : 32,843 = 32,843 : x
2. Step 2: Convert to fraction form
   21,882/32,843 = 32,843/x
3. Step 3: Cross multiply
   21,882x = 32,843 × 32,843
4. Step 4: Simplify right side
   21,882x = 1,078,662,649
5. Step 5: Solve for x
   x = 1,078,662,649/21,882
6. Step 6: Final answer
   x = 49,294.52