Finding the Third Proportional to 30,838 and 34,078

Step by Step Solution

1. Step 1: Write the proportion equation
   30,838 : 34,078 = 34,078 : x
2. Step 2: Convert to fraction form
   30,838/34,078 = 34,078/x
3. Step 3: Cross multiply
   30,838x = 34,078 × 34,078
4. Step 4: Simplify right side
   30,838x = 1,161,310,084
5. Step 5: Solve for x
   x = 1,161,310,084/30,838
6. Step 6: Final answer
   x = 37,658.41