Finding the Third Proportional to 27,231 and 41,648

Step by Step Solution

1. Step 1: Write the proportion equation
   27,231 : 41,648 = 41,648 : x
2. Step 2: Convert to fraction form
   27,231/41,648 = 41,648/x
3. Step 3: Cross multiply
   27,231x = 41,648 × 41,648
4. Step 4: Simplify right side
   27,231x = 1,734,555,904
5. Step 5: Solve for x
   x = 1,734,555,904/27,231
6. Step 6: Final answer
   x = 63,697.84