Finding the Third Proportional to 20,900 and 32,006

Step by Step Solution

1. Step 1: Write the proportion equation
   20,900 : 32,006 = 32,006 : x
2. Step 2: Convert to fraction form
   20,900/32,006 = 32,006/x
3. Step 3: Cross multiply
   20,900x = 32,006 × 32,006
4. Step 4: Simplify right side
   20,900x = 1,024,384,036
5. Step 5: Solve for x
   x = 1,024,384,036/20,900
6. Step 6: Final answer
   x = 49,013.59