Finding the Third Proportional to 9,544 and 20,181

Step by Step Solution

1. Step 1: Write the proportion equation
   9,544 : 20,181 = 20,181 : x
2. Step 2: Convert to fraction form
   9,544/20,181 = 20,181/x
3. Step 3: Cross multiply
   9,544x = 20,181 × 20,181
4. Step 4: Simplify right side
   9,544x = 407,272,761
5. Step 5: Solve for x
   x = 407,272,761/9,544
6. Step 6: Final answer
   x = 42,673.17