Finding the Third Proportional to 34,549 and 71,694

Step by Step Solution

1. Step 1: Write the proportion equation
   34,549 : 71,694 = 71,694 : x
2. Step 2: Convert to fraction form
   34,549/71,694 = 71,694/x
3. Step 3: Cross multiply
   34,549x = 71,694 × 71,694
4. Step 4: Simplify right side
   34,549x = 5,140,029,636
5. Step 5: Solve for x
   x = 5,140,029,636/34,549
6. Step 6: Final answer
   x = 148,775.06