Finding the Third Proportional to 34,138 and 71,001

Step by Step Solution

1. Step 1: Write the proportion equation
   34,138 : 71,001 = 71,001 : x
2. Step 2: Convert to fraction form
   34,138/71,001 = 71,001/x
3. Step 3: Cross multiply
   34,138x = 71,001 × 71,001
4. Step 4: Simplify right side
   34,138x = 5,041,142,001
5. Step 5: Solve for x
   x = 5,041,142,001/34,138
6. Step 6: Final answer
   x = 147,669.52