Finding the Third Proportional to 67,574 and 106,002

Step by Step Solution

1. Step 1: Write the proportion equation
   67,574 : 106,002 = 106,002 : x
2. Step 2: Convert to fraction form
   67,574/106,002 = 106,002/x
3. Step 3: Cross multiply
   67,574x = 106,002 × 106,002
4. Step 4: Simplify right side
   67,574x = 11,236,424,004
5. Step 5: Solve for x
   x = 11,236,424,004/67,574
6. Step 6: Final answer
   x = 166,283.25