Finding the Third Proportional to 20,256 and 45,870

Step by Step Solution

1. Step 1: Write the proportion equation
   20,256 : 45,870 = 45,870 : x
2. Step 2: Convert to fraction form
   20,256/45,870 = 45,870/x
3. Step 3: Cross multiply
   20,256x = 45,870 × 45,870
4. Step 4: Simplify right side
   20,256x = 2,104,056,900
5. Step 5: Solve for x
   x = 2,104,056,900/20,256
6. Step 6: Final answer
   x = 103,873.27