Finding the Third Proportional to 31,691 and 67,006

Step by Step Solution

1. Step 1: Write the proportion equation
   31,691 : 67,006 = 67,006 : x
2. Step 2: Convert to fraction form
   31,691/67,006 = 67,006/x
3. Step 3: Cross multiply
   31,691x = 67,006 × 67,006
4. Step 4: Simplify right side
   31,691x = 4,489,804,036
5. Step 5: Solve for x
   x = 4,489,804,036/31,691
6. Step 6: Final answer
   x = 141,674.42