Finding the Third Proportional to 35,474 and 76,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,474 : 76,329.50 = 76,329.50 : x
2. Step 2: Convert to fraction form
   35,474/76,329.50 = 76,329.50/x
3. Step 3: Cross multiply
   35,474x = 76,329.50 × 76,329.50
4. Step 4: Simplify right side
   35,474x = 5,826,192,570.25
5. Step 5: Solve for x
   x = 5,826,192,570.25/35,474
6. Step 6: Final answer
   x = 164,238.39