Finding the Third Proportional to 19,876 and 31,758

Step by Step Solution

1. Step 1: Write the proportion equation
   19,876 : 31,758 = 31,758 : x
2. Step 2: Convert to fraction form
   19,876/31,758 = 31,758/x
3. Step 3: Cross multiply
   19,876x = 31,758 × 31,758
4. Step 4: Simplify right side
   19,876x = 1,008,570,564
5. Step 5: Solve for x
   x = 1,008,570,564/19,876
6. Step 6: Final answer
   x = 50,743.14