Finding the Third Proportional to 35,658 and 76,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,658 : 76,960.50 = 76,960.50 : x
2. Step 2: Convert to fraction form
   35,658/76,960.50 = 76,960.50/x
3. Step 3: Cross multiply
   35,658x = 76,960.50 × 76,960.50
4. Step 4: Simplify right side
   35,658x = 5,922,918,560.25
5. Step 5: Solve for x
   x = 5,922,918,560.25/35,658
6. Step 6: Final answer
   x = 166,103.50