Finding the Third Proportional to 34,413 and 75,384

Step by Step Solution

1. Step 1: Write the proportion equation
   34,413 : 75,384 = 75,384 : x
2. Step 2: Convert to fraction form
   34,413/75,384 = 75,384/x
3. Step 3: Cross multiply
   34,413x = 75,384 × 75,384
4. Step 4: Simplify right side
   34,413x = 5,682,747,456
5. Step 5: Solve for x
   x = 5,682,747,456/34,413
6. Step 6: Final answer
   x = 165,133.74