Finding the Third Proportional to 11,552 and 17,813

Step by Step Solution

1. Step 1: Write the proportion equation
   11,552 : 17,813 = 17,813 : x
2. Step 2: Convert to fraction form
   11,552/17,813 = 17,813/x
3. Step 3: Cross multiply
   11,552x = 17,813 × 17,813
4. Step 4: Simplify right side
   11,552x = 317,302,969
5. Step 5: Solve for x
   x = 317,302,969/11,552
6. Step 6: Final answer
   x = 27,467.36