Finding the Third Proportional to 31,690 and 67,004

Step by Step Solution

1. Step 1: Write the proportion equation
   31,690 : 67,004 = 67,004 : x
2. Step 2: Convert to fraction form
   31,690/67,004 = 67,004/x
3. Step 3: Cross multiply
   31,690x = 67,004 × 67,004
4. Step 4: Simplify right side
   31,690x = 4,489,536,016
5. Step 5: Solve for x
   x = 4,489,536,016/31,690
6. Step 6: Final answer
   x = 141,670.43