Finding the Third Proportional to 12,075 and 17,751

Step by Step Solution

1. Step 1: Write the proportion equation
   12,075 : 17,751 = 17,751 : x
2. Step 2: Convert to fraction form
   12,075/17,751 = 17,751/x
3. Step 3: Cross multiply
   12,075x = 17,751 × 17,751
4. Step 4: Simplify right side
   12,075x = 315,098,001
5. Step 5: Solve for x
   x = 315,098,001/12,075
6. Step 6: Final answer
   x = 26,095.07