Finding the Third Proportional to 36,749 and 55,173

Step by Step Solution

1. Step 1: Write the proportion equation
   36,749 : 55,173 = 55,173 : x
2. Step 2: Convert to fraction form
   36,749/55,173 = 55,173/x
3. Step 3: Cross multiply
   36,749x = 55,173 × 55,173
4. Step 4: Simplify right side
   36,749x = 3,044,059,929
5. Step 5: Solve for x
   x = 3,044,059,929/36,749
6. Step 6: Final answer
   x = 82,833.82