Finding the Third Proportional to 36,666 and 57,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,666 : 57,190.50 = 57,190.50 : x
2. Step 2: Convert to fraction form
   36,666/57,190.50 = 57,190.50/x
3. Step 3: Cross multiply
   36,666x = 57,190.50 × 57,190.50
4. Step 4: Simplify right side
   36,666x = 3,270,753,290.25
5. Step 5: Solve for x
   x = 3,270,753,290.25/36,666
6. Step 6: Final answer
   x = 89,203.98