Finding the Third Proportional to 34,488 and 75,434

Step by Step Solution

1. Step 1: Write the proportion equation
   34,488 : 75,434 = 75,434 : x
2. Step 2: Convert to fraction form
   34,488/75,434 = 75,434/x
3. Step 3: Cross multiply
   34,488x = 75,434 × 75,434
4. Step 4: Simplify right side
   34,488x = 5,690,288,356
5. Step 5: Solve for x
   x = 5,690,288,356/34,488
6. Step 6: Final answer
   x = 164,993.28