Finding the Third Proportional to 21,878 and 32,822

Step by Step Solution

1. Step 1: Write the proportion equation
   21,878 : 32,822 = 32,822 : x
2. Step 2: Convert to fraction form
   21,878/32,822 = 32,822/x
3. Step 3: Cross multiply
   21,878x = 32,822 × 32,822
4. Step 4: Simplify right side
   21,878x = 1,077,283,684
5. Step 5: Solve for x
   x = 1,077,283,684/21,878
6. Step 6: Final answer
   x = 49,240.50