Finding the Third Proportional to 36,591.75 and 74,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,591.75 : 74,776.50 = 74,776.50 : x
2. Step 2: Convert to fraction form
   36,591.75/74,776.50 = 74,776.50/x
3. Step 3: Cross multiply
   36,591.75x = 74,776.50 × 74,776.50
4. Step 4: Simplify right side
   36,591.75x = 5,591,524,952.25
5. Step 5: Solve for x
   x = 5,591,524,952.25/36,591.75
6. Step 6: Final answer
   x = 152,808.35