Finding the Third Proportional to 9,829.50 and 20,570.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.50 : 20,570.25 = 20,570.25 : x
2. Step 2: Convert to fraction form
   9,829.50/20,570.25 = 20,570.25/x
3. Step 3: Cross multiply
   9,829.50x = 20,570.25 × 20,570.25
4. Step 4: Simplify right side
   9,829.50x = 423,135,185.06
5. Step 5: Solve for x
   x = 423,135,185.06/9,829.50
6. Step 6: Final answer
   x = 43,047.48