Finding the Third Proportional to 19,416 and 41,144

Step by Step Solution

1. Step 1: Write the proportion equation
   19,416 : 41,144 = 41,144 : x
2. Step 2: Convert to fraction form
   19,416/41,144 = 41,144/x
3. Step 3: Cross multiply
   19,416x = 41,144 × 41,144
4. Step 4: Simplify right side
   19,416x = 1,692,828,736
5. Step 5: Solve for x
   x = 1,692,828,736/19,416
6. Step 6: Final answer
   x = 87,187.31