Finding the Third Proportional to 34,464 and 75,384

Step by Step Solution

1. Step 1: Write the proportion equation
   34,464 : 75,384 = 75,384 : x
2. Step 2: Convert to fraction form
   34,464/75,384 = 75,384/x
3. Step 3: Cross multiply
   34,464x = 75,384 × 75,384
4. Step 4: Simplify right side
   34,464x = 5,682,747,456
5. Step 5: Solve for x
   x = 5,682,747,456/34,464
6. Step 6: Final answer
   x = 164,889.38