Finding the Third Proportional to 36,960 and 55,826

Step by Step Solution

1. Step 1: Write the proportion equation
   36,960 : 55,826 = 55,826 : x
2. Step 2: Convert to fraction form
   36,960/55,826 = 55,826/x
3. Step 3: Cross multiply
   36,960x = 55,826 × 55,826
4. Step 4: Simplify right side
   36,960x = 3,116,542,276
5. Step 5: Solve for x
   x = 3,116,542,276/36,960
6. Step 6: Final answer
   x = 84,322.03