Finding the Third Proportional to 24,084 and 31,956

Step by Step Solution

1. Step 1: Write the proportion equation
   24,084 : 31,956 = 31,956 : x
2. Step 2: Convert to fraction form
   24,084/31,956 = 31,956/x
3. Step 3: Cross multiply
   24,084x = 31,956 × 31,956
4. Step 4: Simplify right side
   24,084x = 1,021,185,936
5. Step 5: Solve for x
   x = 1,021,185,936/24,084
6. Step 6: Final answer
   x = 42,401.01