Finding the Third Proportional to 7,398 and 10,565

Step by Step Solution

1. Step 1: Write the proportion equation
   7,398 : 10,565 = 10,565 : x
2. Step 2: Convert to fraction form
   7,398/10,565 = 10,565/x
3. Step 3: Cross multiply
   7,398x = 10,565 × 10,565
4. Step 4: Simplify right side
   7,398x = 111,619,225
5. Step 5: Solve for x
   x = 111,619,225/7,398
6. Step 6: Final answer
   x = 15,087.76