Finding the Third Proportional to 9,530 and 19,726

Step by Step Solution

1. Step 1: Write the proportion equation
   9,530 : 19,726 = 19,726 : x
2. Step 2: Convert to fraction form
   9,530/19,726 = 19,726/x
3. Step 3: Cross multiply
   9,530x = 19,726 × 19,726
4. Step 4: Simplify right side
   9,530x = 389,115,076
5. Step 5: Solve for x
   x = 389,115,076/9,530
6. Step 6: Final answer
   x = 40,830.54