Finding the Third Proportional to 3,380 and 5,034

Step by Step Solution

1. Step 1: Write the proportion equation
   3,380 : 5,034 = 5,034 : x
2. Step 2: Convert to fraction form
   3,380/5,034 = 5,034/x
3. Step 3: Cross multiply
   3,380x = 5,034 × 5,034
4. Step 4: Simplify right side
   3,380x = 25,341,156
5. Step 5: Solve for x
   x = 25,341,156/3,380
6. Step 6: Final answer
   x = 7,497.38