Finding the Third Proportional to 6,743.94 and 10,075.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,743.94 : 10,075.38 = 10,075.38 : x
2. Step 2: Convert to fraction form
   6,743.94/10,075.38 = 10,075.38/x
3. Step 3: Cross multiply
   6,743.94x = 10,075.38 × 10,075.38
4. Step 4: Simplify right side
   6,743.94x = 101,513,181.39
5. Step 5: Solve for x
   x = 101,513,181.39/6,743.94
6. Step 6: Final answer
   x = 15,052.51