Finding the Third Proportional to 11,574 and 17,841.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,574 : 17,841.38 = 17,841.38 : x
2. Step 2: Convert to fraction form
   11,574/17,841.38 = 17,841.38/x
3. Step 3: Cross multiply
   11,574x = 17,841.38 × 17,841.38
4. Step 4: Simplify right side
   11,574x = 318,314,661.89
5. Step 5: Solve for x
   x = 318,314,661.89/11,574
6. Step 6: Final answer
   x = 27,502.56