Finding the Third Proportional to 20,832 and 32,272

Step by Step Solution

1. Step 1: Write the proportion equation
   20,832 : 32,272 = 32,272 : x
2. Step 2: Convert to fraction form
   20,832/32,272 = 32,272/x
3. Step 3: Cross multiply
   20,832x = 32,272 × 32,272
4. Step 4: Simplify right side
   20,832x = 1,041,481,984
5. Step 5: Solve for x
   x = 1,041,481,984/20,832
6. Step 6: Final answer
   x = 49,994.33