Finding the Third Proportional to 41,096 and 63,642

Step by Step Solution

1. Step 1: Write the proportion equation
   41,096 : 63,642 = 63,642 : x
2. Step 2: Convert to fraction form
   41,096/63,642 = 63,642/x
3. Step 3: Cross multiply
   41,096x = 63,642 × 63,642
4. Step 4: Simplify right side
   41,096x = 4,050,304,164
5. Step 5: Solve for x
   x = 4,050,304,164/41,096
6. Step 6: Final answer
   x = 98,557.14