Finding the Third Proportional to 20,780 and 32,502

Step by Step Solution

1. Step 1: Write the proportion equation
   20,780 : 32,502 = 32,502 : x
2. Step 2: Convert to fraction form
   20,780/32,502 = 32,502/x
3. Step 3: Cross multiply
   20,780x = 32,502 × 32,502
4. Step 4: Simplify right side
   20,780x = 1,056,380,004
5. Step 5: Solve for x
   x = 1,056,380,004/20,780
6. Step 6: Final answer
   x = 50,836.38