Finding the Third Proportional to 25,642 and 32,767

Step by Step Solution

1. Step 1: Write the proportion equation
   25,642 : 32,767 = 32,767 : x
2. Step 2: Convert to fraction form
   25,642/32,767 = 32,767/x
3. Step 3: Cross multiply
   25,642x = 32,767 × 32,767
4. Step 4: Simplify right side
   25,642x = 1,073,676,289
5. Step 5: Solve for x
   x = 1,073,676,289/25,642
6. Step 6: Final answer
   x = 41,871.78