Finding the Third Proportional to 8,434 and 19,705

Step by Step Solution

1. Step 1: Write the proportion equation
   8,434 : 19,705 = 19,705 : x
2. Step 2: Convert to fraction form
   8,434/19,705 = 19,705/x
3. Step 3: Cross multiply
   8,434x = 19,705 × 19,705
4. Step 4: Simplify right side
   8,434x = 388,287,025
5. Step 5: Solve for x
   x = 388,287,025/8,434
6. Step 6: Final answer
   x = 46,038.30