Finding the Third Proportional to 11,825.25 and 18,181.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,825.25 : 18,181.69 = 18,181.69 : x
2. Step 2: Convert to fraction form
   11,825.25/18,181.69 = 18,181.69/x
3. Step 3: Cross multiply
   11,825.25x = 18,181.69 × 18,181.69
4. Step 4: Simplify right side
   11,825.25x = 330,573,760.35
5. Step 5: Solve for x
   x = 330,573,760.35/11,825.25
6. Step 6: Final answer
   x = 27,954.91