Finding the Third Proportional to 23,648 and 35,267

Step by Step Solution

1. Step 1: Write the proportion equation
   23,648 : 35,267 = 35,267 : x
2. Step 2: Convert to fraction form
   23,648/35,267 = 35,267/x
3. Step 3: Cross multiply
   23,648x = 35,267 × 35,267
4. Step 4: Simplify right side
   23,648x = 1,243,761,289
5. Step 5: Solve for x
   x = 1,243,761,289/23,648
6. Step 6: Final answer
   x = 52,594.78