Finding the Third Proportional to 35,751 and 76,249.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,751 : 76,249.50 = 76,249.50 : x
2. Step 2: Convert to fraction form
   35,751/76,249.50 = 76,249.50/x
3. Step 3: Cross multiply
   35,751x = 76,249.50 × 76,249.50
4. Step 4: Simplify right side
   35,751x = 5,813,986,250.25
5. Step 5: Solve for x
   x = 5,813,986,250.25/35,751
6. Step 6: Final answer
   x = 162,624.44