Finding the Third Proportional to 20,782 and 32,505

Step by Step Solution

1. Step 1: Write the proportion equation
   20,782 : 32,505 = 32,505 : x
2. Step 2: Convert to fraction form
   20,782/32,505 = 32,505/x
3. Step 3: Cross multiply
   20,782x = 32,505 × 32,505
4. Step 4: Simplify right side
   20,782x = 1,056,575,025
5. Step 5: Solve for x
   x = 1,056,575,025/20,782
6. Step 6: Final answer
   x = 50,840.87