Finding the Third Proportional to 35,629.50 and 76,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,629.50 : 76,969.50 = 76,969.50 : x
2. Step 2: Convert to fraction form
   35,629.50/76,969.50 = 76,969.50/x
3. Step 3: Cross multiply
   35,629.50x = 76,969.50 × 76,969.50
4. Step 4: Simplify right side
   35,629.50x = 5,924,303,930.25
5. Step 5: Solve for x
   x = 5,924,303,930.25/35,629.50
6. Step 6: Final answer
   x = 166,275.25