Finding the Third Proportional to 23,819 and 51,870

Step by Step Solution

1. Step 1: Write the proportion equation
   23,819 : 51,870 = 51,870 : x
2. Step 2: Convert to fraction form
   23,819/51,870 = 51,870/x
3. Step 3: Cross multiply
   23,819x = 51,870 × 51,870
4. Step 4: Simplify right side
   23,819x = 2,690,496,900
5. Step 5: Solve for x
   x = 2,690,496,900/23,819
6. Step 6: Final answer
   x = 112,955.91