Finding the Third Proportional to 3,380 and 5,604

Step by Step Solution

1. Step 1: Write the proportion equation
   3,380 : 5,604 = 5,604 : x
2. Step 2: Convert to fraction form
   3,380/5,604 = 5,604/x
3. Step 3: Cross multiply
   3,380x = 5,604 × 5,604
4. Step 4: Simplify right side
   3,380x = 31,404,816
5. Step 5: Solve for x
   x = 31,404,816/3,380
6. Step 6: Final answer
   x = 9,291.37