Finding the Third Proportional to 35,517 and 76,570

Step by Step Solution

1. Step 1: Write the proportion equation
   35,517 : 76,570 = 76,570 : x
2. Step 2: Convert to fraction form
   35,517/76,570 = 76,570/x
3. Step 3: Cross multiply
   35,517x = 76,570 × 76,570
4. Step 4: Simplify right side
   35,517x = 5,862,964,900
5. Step 5: Solve for x
   x = 5,862,964,900/35,517
6. Step 6: Final answer
   x = 165,074.89