Finding the Third Proportional to 36,834.50 and 80,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,834.50 : 80,415.50 = 80,415.50 : x
2. Step 2: Convert to fraction form
   36,834.50/80,415.50 = 80,415.50/x
3. Step 3: Cross multiply
   36,834.50x = 80,415.50 × 80,415.50
4. Step 4: Simplify right side
   36,834.50x = 6,466,652,640.25
5. Step 5: Solve for x
   x = 6,466,652,640.25/36,834.50
6. Step 6: Final answer
   x = 175,559.67