Finding the Third Proportional to 10,434 and 21,730

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434 : 21,730 = 21,730 : x
2. Step 2: Convert to fraction form
   10,434/21,730 = 21,730/x
3. Step 3: Cross multiply
   10,434x = 21,730 × 21,730
4. Step 4: Simplify right side
   10,434x = 472,192,900
5. Step 5: Solve for x
   x = 472,192,900/10,434
6. Step 6: Final answer
   x = 45,255.21