Finding the Third Proportional to 41,415 and 55,178

Step by Step Solution

1. Step 1: Write the proportion equation
   41,415 : 55,178 = 55,178 : x
2. Step 2: Convert to fraction form
   41,415/55,178 = 55,178/x
3. Step 3: Cross multiply
   41,415x = 55,178 × 55,178
4. Step 4: Simplify right side
   41,415x = 3,044,611,684
5. Step 5: Solve for x
   x = 3,044,611,684/41,415
6. Step 6: Final answer
   x = 73,514.71