Finding the Third Proportional to 7,378 and 15,200

Step by Step Solution

1. Step 1: Write the proportion equation
   7,378 : 15,200 = 15,200 : x
2. Step 2: Convert to fraction form
   7,378/15,200 = 15,200/x
3. Step 3: Cross multiply
   7,378x = 15,200 × 15,200
4. Step 4: Simplify right side
   7,378x = 231,040,000
5. Step 5: Solve for x
   x = 231,040,000/7,378
6. Step 6: Final answer
   x = 31,314.72