Finding the Third Proportional to 19,414 and 41,595

Step by Step Solution

1. Step 1: Write the proportion equation
   19,414 : 41,595 = 41,595 : x
2. Step 2: Convert to fraction form
   19,414/41,595 = 41,595/x
3. Step 3: Cross multiply
   19,414x = 41,595 × 41,595
4. Step 4: Simplify right side
   19,414x = 1,730,144,025
5. Step 5: Solve for x
   x = 1,730,144,025/19,414
6. Step 6: Final answer
   x = 89,118.37