Finding the Third Proportional to 21,870 and 31,833

Step by Step Solution

1. Step 1: Write the proportion equation
   21,870 : 31,833 = 31,833 : x
2. Step 2: Convert to fraction form
   21,870/31,833 = 31,833/x
3. Step 3: Cross multiply
   21,870x = 31,833 × 31,833
4. Step 4: Simplify right side
   21,870x = 1,013,339,889
5. Step 5: Solve for x
   x = 1,013,339,889/21,870
6. Step 6: Final answer
   x = 46,334.70