Finding the Third Proportional to 21,828 and 32,706

Step by Step Solution

1. Step 1: Write the proportion equation
   21,828 : 32,706 = 32,706 : x
2. Step 2: Convert to fraction form
   21,828/32,706 = 32,706/x
3. Step 3: Cross multiply
   21,828x = 32,706 × 32,706
4. Step 4: Simplify right side
   21,828x = 1,069,682,436
5. Step 5: Solve for x
   x = 1,069,682,436/21,828
6. Step 6: Final answer
   x = 49,005.06