Finding the Third Proportional to 2,364 and 5,075

Step by Step Solution

1. Step 1: Write the proportion equation
   2,364 : 5,075 = 5,075 : x
2. Step 2: Convert to fraction form
   2,364/5,075 = 5,075/x
3. Step 3: Cross multiply
   2,364x = 5,075 × 5,075
4. Step 4: Simplify right side
   2,364x = 25,755,625
5. Step 5: Solve for x
   x = 25,755,625/2,364
6. Step 6: Final answer
   x = 10,894.93