Finding the Third Proportional to 9,852.75 and 20,171.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,852.75 : 20,171.25 = 20,171.25 : x
2. Step 2: Convert to fraction form
   9,852.75/20,171.25 = 20,171.25/x
3. Step 3: Cross multiply
   9,852.75x = 20,171.25 × 20,171.25
4. Step 4: Simplify right side
   9,852.75x = 406,879,326.56
5. Step 5: Solve for x
   x = 406,879,326.56/9,852.75
6. Step 6: Final answer
   x = 41,296.02