Finding the Third Proportional to 9,086 and 19,546

Step by Step Solution

1. Step 1: Write the proportion equation
   9,086 : 19,546 = 19,546 : x
2. Step 2: Convert to fraction form
   9,086/19,546 = 19,546/x
3. Step 3: Cross multiply
   9,086x = 19,546 × 19,546
4. Step 4: Simplify right side
   9,086x = 382,046,116
5. Step 5: Solve for x
   x = 382,046,116/9,086
6. Step 6: Final answer
   x = 42,047.78