Finding the Third Proportional to 23,812 and 35,648

Step by Step Solution

1. Step 1: Write the proportion equation
   23,812 : 35,648 = 35,648 : x
2. Step 2: Convert to fraction form
   23,812/35,648 = 35,648/x
3. Step 3: Cross multiply
   23,812x = 35,648 × 35,648
4. Step 4: Simplify right side
   23,812x = 1,270,779,904
5. Step 5: Solve for x
   x = 1,270,779,904/23,812
6. Step 6: Final answer
   x = 53,367.21