Finding the Third Proportional to 20,567 and 32,345

Step by Step Solution

1. Step 1: Write the proportion equation
   20,567 : 32,345 = 32,345 : x
2. Step 2: Convert to fraction form
   20,567/32,345 = 32,345/x
3. Step 3: Cross multiply
   20,567x = 32,345 × 32,345
4. Step 4: Simplify right side
   20,567x = 1,046,199,025
5. Step 5: Solve for x
   x = 1,046,199,025/20,567
6. Step 6: Final answer
   x = 50,867.85