Finding the Third Proportional to 36,477 and 54,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,477 : 54,976.50 = 54,976.50 : x
2. Step 2: Convert to fraction form
   36,477/54,976.50 = 54,976.50/x
3. Step 3: Cross multiply
   36,477x = 54,976.50 × 54,976.50
4. Step 4: Simplify right side
   36,477x = 3,022,415,552.25
5. Step 5: Solve for x
   x = 3,022,415,552.25/36,477
6. Step 6: Final answer
   x = 82,858.12