Finding the Third Proportional to 30,844 and 34,084

Step by Step Solution

1. Step 1: Write the proportion equation
   30,844 : 34,084 = 34,084 : x
2. Step 2: Convert to fraction form
   30,844/34,084 = 34,084/x
3. Step 3: Cross multiply
   30,844x = 34,084 × 34,084
4. Step 4: Simplify right side
   30,844x = 1,161,719,056
5. Step 5: Solve for x
   x = 1,161,719,056/30,844
6. Step 6: Final answer
   x = 37,664.34