Finding the Third Proportional to 31,826 and 74,005

Step by Step Solution

1. Step 1: Write the proportion equation
   31,826 : 74,005 = 74,005 : x
2. Step 2: Convert to fraction form
   31,826/74,005 = 74,005/x
3. Step 3: Cross multiply
   31,826x = 74,005 × 74,005
4. Step 4: Simplify right side
   31,826x = 5,476,740,025
5. Step 5: Solve for x
   x = 5,476,740,025/31,826
6. Step 6: Final answer
   x = 172,083.83