Finding the Third Proportional to 20,536 and 32,644

Step by Step Solution

1. Step 1: Write the proportion equation
   20,536 : 32,644 = 32,644 : x
2. Step 2: Convert to fraction form
   20,536/32,644 = 32,644/x
3. Step 3: Cross multiply
   20,536x = 32,644 × 32,644
4. Step 4: Simplify right side
   20,536x = 1,065,630,736
5. Step 5: Solve for x
   x = 1,065,630,736/20,536
6. Step 6: Final answer
   x = 51,890.86