Finding the Third Proportional to 21,886 and 32,821

Step by Step Solution

1. Step 1: Write the proportion equation
   21,886 : 32,821 = 32,821 : x
2. Step 2: Convert to fraction form
   21,886/32,821 = 32,821/x
3. Step 3: Cross multiply
   21,886x = 32,821 × 32,821
4. Step 4: Simplify right side
   21,886x = 1,077,218,041
5. Step 5: Solve for x
   x = 1,077,218,041/21,886
6. Step 6: Final answer
   x = 49,219.50