Finding the Third Proportional to 11,823 and 24,870

Step by Step Solution

1. Step 1: Write the proportion equation
   11,823 : 24,870 = 24,870 : x
2. Step 2: Convert to fraction form
   11,823/24,870 = 24,870/x
3. Step 3: Cross multiply
   11,823x = 24,870 × 24,870
4. Step 4: Simplify right side
   11,823x = 618,516,900
5. Step 5: Solve for x
   x = 618,516,900/11,823
6. Step 6: Final answer
   x = 52,314.72