Finding the Third Proportional to 36,178.50 and 55,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,178.50 : 55,309.50 = 55,309.50 : x
2. Step 2: Convert to fraction form
   36,178.50/55,309.50 = 55,309.50/x
3. Step 3: Cross multiply
   36,178.50x = 55,309.50 × 55,309.50
4. Step 4: Simplify right side
   36,178.50x = 3,059,140,790.25
5. Step 5: Solve for x
   x = 3,059,140,790.25/36,178.50
6. Step 6: Final answer
   x = 84,556.87