Finding the Third Proportional to 10,265 and 21,742

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265 : 21,742 = 21,742 : x
2. Step 2: Convert to fraction form
   10,265/21,742 = 21,742/x
3. Step 3: Cross multiply
   10,265x = 21,742 × 21,742
4. Step 4: Simplify right side
   10,265x = 472,714,564
5. Step 5: Solve for x
   x = 472,714,564/10,265
6. Step 6: Final answer
   x = 46,051.10