Finding the Third Proportional to 30,906 and 67,826

Step by Step Solution

1. Step 1: Write the proportion equation
   30,906 : 67,826 = 67,826 : x
2. Step 2: Convert to fraction form
   30,906/67,826 = 67,826/x
3. Step 3: Cross multiply
   30,906x = 67,826 × 67,826
4. Step 4: Simplify right side
   30,906x = 4,600,366,276
5. Step 5: Solve for x
   x = 4,600,366,276/30,906
6. Step 6: Final answer
   x = 148,850.26