Finding the Third Proportional to 34,877 and 71,608

Step by Step Solution

1. Step 1: Write the proportion equation
   34,877 : 71,608 = 71,608 : x
2. Step 2: Convert to fraction form
   34,877/71,608 = 71,608/x
3. Step 3: Cross multiply
   34,877x = 71,608 × 71,608
4. Step 4: Simplify right side
   34,877x = 5,127,705,664
5. Step 5: Solve for x
   x = 5,127,705,664/34,877
6. Step 6: Final answer
   x = 147,022.56