Finding the Third Proportional to 34,885 and 71,606

Step by Step Solution

1. Step 1: Write the proportion equation
   34,885 : 71,606 = 71,606 : x
2. Step 2: Convert to fraction form
   34,885/71,606 = 71,606/x
3. Step 3: Cross multiply
   34,885x = 71,606 × 71,606
4. Step 4: Simplify right side
   34,885x = 5,127,419,236
5. Step 5: Solve for x
   x = 5,127,419,236/34,885
6. Step 6: Final answer
   x = 146,980.63