Finding the Third Proportional to 19,376 and 41,078

Step by Step Solution

1. Step 1: Write the proportion equation
   19,376 : 41,078 = 41,078 : x
2. Step 2: Convert to fraction form
   19,376/41,078 = 41,078/x
3. Step 3: Cross multiply
   19,376x = 41,078 × 41,078
4. Step 4: Simplify right side
   19,376x = 1,687,402,084
5. Step 5: Solve for x
   x = 1,687,402,084/19,376
6. Step 6: Final answer
   x = 87,087.23