Finding the Third Proportional to 19,870 and 27,846

Step by Step Solution

1. Step 1: Write the proportion equation
   19,870 : 27,846 = 27,846 : x
2. Step 2: Convert to fraction form
   19,870/27,846 = 27,846/x
3. Step 3: Cross multiply
   19,870x = 27,846 × 27,846
4. Step 4: Simplify right side
   19,870x = 775,399,716
5. Step 5: Solve for x
   x = 775,399,716/19,870
6. Step 6: Final answer
   x = 39,023.64