Finding the Third Proportional to 9,830.25 and 20,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.25 : 20,308.50 = 20,308.50 : x
2. Step 2: Convert to fraction form
   9,830.25/20,308.50 = 20,308.50/x
3. Step 3: Cross multiply
   9,830.25x = 20,308.50 × 20,308.50
4. Step 4: Simplify right side
   9,830.25x = 412,435,172.25
5. Step 5: Solve for x
   x = 412,435,172.25/9,830.25
6. Step 6: Final answer
   x = 41,955.72