Finding the Third Proportional to 36,311 and 75,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,311 : 75,947.50 = 75,947.50 : x
2. Step 2: Convert to fraction form
   36,311/75,947.50 = 75,947.50/x
3. Step 3: Cross multiply
   36,311x = 75,947.50 × 75,947.50
4. Step 4: Simplify right side
   36,311x = 5,768,022,756.25
5. Step 5: Solve for x
   x = 5,768,022,756.25/36,311
6. Step 6: Final answer
   x = 158,850.56