Finding the Third Proportional to 20,864 and 45,886

Step by Step Solution

1. Step 1: Write the proportion equation
   20,864 : 45,886 = 45,886 : x
2. Step 2: Convert to fraction form
   20,864/45,886 = 45,886/x
3. Step 3: Cross multiply
   20,864x = 45,886 × 45,886
4. Step 4: Simplify right side
   20,864x = 2,105,524,996
5. Step 5: Solve for x
   x = 2,105,524,996/20,864
6. Step 6: Final answer
   x = 100,916.65