Finding the Third Proportional to 21,872 and 32,828

Step by Step Solution

1. Step 1: Write the proportion equation
   21,872 : 32,828 = 32,828 : x
2. Step 2: Convert to fraction form
   21,872/32,828 = 32,828/x
3. Step 3: Cross multiply
   21,872x = 32,828 × 32,828
4. Step 4: Simplify right side
   21,872x = 1,077,677,584
5. Step 5: Solve for x
   x = 1,077,677,584/21,872
6. Step 6: Final answer
   x = 49,272.02