Finding the Third Proportional to 20,480 and 32,144

Step by Step Solution

1. Step 1: Write the proportion equation
   20,480 : 32,144 = 32,144 : x
2. Step 2: Convert to fraction form
   20,480/32,144 = 32,144/x
3. Step 3: Cross multiply
   20,480x = 32,144 × 32,144
4. Step 4: Simplify right side
   20,480x = 1,033,236,736
5. Step 5: Solve for x
   x = 1,033,236,736/20,480
6. Step 6: Final answer
   x = 50,451.01