Finding the Third Proportional to 36,765 and 55,000.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,765 : 55,000.50 = 55,000.50 : x
2. Step 2: Convert to fraction form
   36,765/55,000.50 = 55,000.50/x
3. Step 3: Cross multiply
   36,765x = 55,000.50 × 55,000.50
4. Step 4: Simplify right side
   36,765x = 3,025,055,000.25
5. Step 5: Solve for x
   x = 3,025,055,000.25/36,765
6. Step 6: Final answer
   x = 82,280.84