Finding the Third Proportional to 11,748 and 18,182

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748 : 18,182 = 18,182 : x
2. Step 2: Convert to fraction form
   11,748/18,182 = 18,182/x
3. Step 3: Cross multiply
   11,748x = 18,182 × 18,182
4. Step 4: Simplify right side
   11,748x = 330,585,124
5. Step 5: Solve for x
   x = 330,585,124/11,748
6. Step 6: Final answer
   x = 28,139.69