Finding the Third Proportional to 35,627.50 and 76,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,627.50 : 76,965.50 = 76,965.50 : x
2. Step 2: Convert to fraction form
   35,627.50/76,965.50 = 76,965.50/x
3. Step 3: Cross multiply
   35,627.50x = 76,965.50 × 76,965.50
4. Step 4: Simplify right side
   35,627.50x = 5,923,688,190.25
5. Step 5: Solve for x
   x = 5,923,688,190.25/35,627.50
6. Step 6: Final answer
   x = 166,267.30