Finding the Third Proportional to 35,660 and 55,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,660 : 55,217.50 = 55,217.50 : x
2. Step 2: Convert to fraction form
   35,660/55,217.50 = 55,217.50/x
3. Step 3: Cross multiply
   35,660x = 55,217.50 × 55,217.50
4. Step 4: Simplify right side
   35,660x = 3,048,972,306.25
5. Step 5: Solve for x
   x = 3,048,972,306.25/35,660
6. Step 6: Final answer
   x = 85,501.19