Finding the Third Proportional to 39,376 and 55,144

Step by Step Solution

1. Step 1: Write the proportion equation
   39,376 : 55,144 = 55,144 : x
2. Step 2: Convert to fraction form
   39,376/55,144 = 55,144/x
3. Step 3: Cross multiply
   39,376x = 55,144 × 55,144
4. Step 4: Simplify right side
   39,376x = 3,040,860,736
5. Step 5: Solve for x
   x = 3,040,860,736/39,376
6. Step 6: Final answer
   x = 77,226.25