Finding the Third Proportional to 36,287 and 54,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,287 : 54,977.50 = 54,977.50 : x
2. Step 2: Convert to fraction form
   36,287/54,977.50 = 54,977.50/x
3. Step 3: Cross multiply
   36,287x = 54,977.50 × 54,977.50
4. Step 4: Simplify right side
   36,287x = 3,022,525,506.25
5. Step 5: Solve for x
   x = 3,022,525,506.25/36,287
6. Step 6: Final answer
   x = 83,295.00