Finding the Third Proportional to 20,382 and 32,015

Step by Step Solution

1. Step 1: Write the proportion equation
   20,382 : 32,015 = 32,015 : x
2. Step 2: Convert to fraction form
   20,382/32,015 = 32,015/x
3. Step 3: Cross multiply
   20,382x = 32,015 × 32,015
4. Step 4: Simplify right side
   20,382x = 1,024,960,225
5. Step 5: Solve for x
   x = 1,024,960,225/20,382
6. Step 6: Final answer
   x = 50,287.52