Finding the Third Proportional to 11,075.50 and 17,767

Step by Step Solution

1. Step 1: Write the proportion equation
   11,075.50 : 17,767 = 17,767 : x
2. Step 2: Convert to fraction form
   11,075.50/17,767 = 17,767/x
3. Step 3: Cross multiply
   11,075.50x = 17,767 × 17,767
4. Step 4: Simplify right side
   11,075.50x = 315,666,289
5. Step 5: Solve for x
   x = 315,666,289/11,075.50
6. Step 6: Final answer
   x = 28,501.31