Finding the Third Proportional to 34,138 and 71,002

Step by Step Solution

1. Step 1: Write the proportion equation
   34,138 : 71,002 = 71,002 : x
2. Step 2: Convert to fraction form
   34,138/71,002 = 71,002/x
3. Step 3: Cross multiply
   34,138x = 71,002 × 71,002
4. Step 4: Simplify right side
   34,138x = 5,041,284,004
5. Step 5: Solve for x
   x = 5,041,284,004/34,138
6. Step 6: Final answer
   x = 147,673.68