Finding the Third Proportional to 34,311 and 74,238

Step by Step Solution

1. Step 1: Write the proportion equation
   34,311 : 74,238 = 74,238 : x
2. Step 2: Convert to fraction form
   34,311/74,238 = 74,238/x
3. Step 3: Cross multiply
   34,311x = 74,238 × 74,238
4. Step 4: Simplify right side
   34,311x = 5,511,280,644
5. Step 5: Solve for x
   x = 5,511,280,644/34,311
6. Step 6: Final answer
   x = 160,627.22