Finding the Third Proportional to 34,084 and 73,352

Step by Step Solution

1. Step 1: Write the proportion equation
   34,084 : 73,352 = 73,352 : x
2. Step 2: Convert to fraction form
   34,084/73,352 = 73,352/x
3. Step 3: Cross multiply
   34,084x = 73,352 × 73,352
4. Step 4: Simplify right side
   34,084x = 5,380,515,904
5. Step 5: Solve for x
   x = 5,380,515,904/34,084
6. Step 6: Final answer
   x = 157,860.46