Finding the Third Proportional to 36,180 and 56,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,180 : 56,584.50 = 56,584.50 : x
2. Step 2: Convert to fraction form
   36,180/56,584.50 = 56,584.50/x
3. Step 3: Cross multiply
   36,180x = 56,584.50 × 56,584.50
4. Step 4: Simplify right side
   36,180x = 3,201,805,640.25
5. Step 5: Solve for x
   x = 3,201,805,640.25/36,180
6. Step 6: Final answer
   x = 88,496.56