Finding the Third Proportional to 9,147.25 and 19,705.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,147.25 : 19,705.25 = 19,705.25 : x
2. Step 2: Convert to fraction form
   9,147.25/19,705.25 = 19,705.25/x
3. Step 3: Cross multiply
   9,147.25x = 19,705.25 × 19,705.25
4. Step 4: Simplify right side
   9,147.25x = 388,296,877.56
5. Step 5: Solve for x
   x = 388,296,877.56/9,147.25
6. Step 6: Final answer
   x = 42,449.58