Finding the Third Proportional to 30,080 and 34,454

Step by Step Solution

1. Step 1: Write the proportion equation
   30,080 : 34,454 = 34,454 : x
2. Step 2: Convert to fraction form
   30,080/34,454 = 34,454/x
3. Step 3: Cross multiply
   30,080x = 34,454 × 34,454
4. Step 4: Simplify right side
   30,080x = 1,187,078,116
5. Step 5: Solve for x
   x = 1,187,078,116/30,080
6. Step 6: Final answer
   x = 39,464.03