Finding the Third Proportional to 34,864 and 76,384

Step by Step Solution

1. Step 1: Write the proportion equation
   34,864 : 76,384 = 76,384 : x
2. Step 2: Convert to fraction form
   34,864/76,384 = 76,384/x
3. Step 3: Cross multiply
   34,864x = 76,384 × 76,384
4. Step 4: Simplify right side
   34,864x = 5,834,515,456
5. Step 5: Solve for x
   x = 5,834,515,456/34,864
6. Step 6: Final answer
   x = 167,350.72